a second term and if possible a third term...

Americans allow only 2 terms. The only president to serve more than 2 terms was Rosevelt, and that was because of WWII.

Be thankful, otherwise Bush might have been in for another 4 years.

The Twenty-second Amendment (Amendment XXII) of the United States Constitution sets a term limit for the President of the United States. The Congress passed the amendment on March 21, 1947.[1] It was ratified by the requisite number of states on February 27, 1951.

Section 1. No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once. But this article shall not apply to any person holding the office of President when this article was proposed by the Congress, and shall not prevent any person who may be holding the office of President, or acting as President, during the term within which this article becomes operative from holding the office of President or acting as President during the remainder of such term.

Section 2. This article shall be inoperative unless it shall have been ratified as an amendment to the Constitution by the legislatures of three-fourths of the several States within seven years from the date of its submission to the States by the Congress.

Historians point to George Washington's decision not to seek a third term as evidence that the Founders saw a two-term limit as convention and a bulwark against a monarchy; his Farewell Address, however, suggests that it was because of his age that he did not seek reelection. Thomas Jefferson also contributed to the convention of a two-term limit; in 1807 he wrote, "if some termination to the services of the chief Magistrate be not fixed by the Constitution, or supplied by practice, his office, nominally four years, will in fact become for life."[2] Jefferson’s immediate successors, James Madison and James Monroe, also adhered to the two-term principle.

Prior to Franklin D. Roosevelt, few Presidents attempted to serve for more than two terms. Ulysses S. Grant sought a third term in 1880 after serving from 1869 to 1877, but narrowly lost his party's nomination. Theodore Roosevelt succeeded to the presidency upon William McKinley's assassination and was elected in 1904 to a full term himself, serving from 1901 to 1909. He sought to be elected to a (non-consecutive) term in 1912 but lost to Woodrow Wilson. In 1940, Franklin D. Roosevelt became the only president to be elected to a third term; supporters cited the war in Europe as a reason for breaking with precedent. In the 1944 election, during World War II, he won a fourth term, but suffered a cerebral hemorrhage and died in office the following year. Thus, Roosevelt was the only President to have exceeded the limits provided by the Twenty-second Amendment prior to its ratification.