Furyk shot a five-under 66 Saturday at the Copperhead Course, while Goosen was one stroke better with a 65. The pair finished at 11-under 202 and are one stroke ahead.
Furyk and Goosen have quite a bit more in common than the 54-hole lead this week.
Furyk won this championship in 2010 and claimed his only major victory at the U.S. Open in 2003.
Goosen walked off with this title in 2009 and is a two-time U.S. Open champion.
Sang-Moon Bae was a leader until a disastrous triple-bogey at the par-five 16th, the first hole in the closing stretch known as "The Snake Pit." He rebounded with a birdie at 17 and shot a three-under 68 to join second-round leader Jason Dufner, who managed an even-par 71 on Saturday, in a tie for third at minus-10.
John Mallinger (66) and Ken Duke (69) share fifth at nine-under 204.
Luke Donald can return to No. 1 in the world rankings with a victory Sunday, just two weeks after Rory McIlroy took the top spot in the world of golf. Donald carded a one-under 70 and is tied for seventh with Ernie Els (68) and Chez Reavie (67) at eight-under par.
MORE TO FOLLOW.