He watched playing partners McIlroy and Woods immediately birdie the par-five eighth on resumption, with the Northern Irishman picking up two further birdies to move to three under, seven shots off the lead.
Finau was among five players who accompanied Furyk to France this summer for a scouting trip at Le Golf Nacional, the host course of the September 28-30 Ryder Cup matches.
Defending champion Justin Thomas stayed in the game, and so did Tiger Woods. With a front pin on the seventh hole, he went some 25 feet beyond the flag and holed the putt, and then got up-and-down from a bunker on par-5 eighth.
He picked up one last birdie when he reached the green in two on the 597-yard 17th hole and two-putted, sending him to a 66.
Woodland fired a four-under-par 66 Friday to seize the lead at 10-under 130 for 36 holes, one stroke ahead of fellow American Kevin Kisner with compatriot Brooks Koepka, the two-time reigning US Open champion, next on 132.
"And on top of that, if you hit the ball well enough, then you're going to leave yourself in the right sections". In recent years, he has taken on a big role in the makeup of the team and, along with Tiger Woods, is part of the Ryder Cup committee that also includes Furyk and three PGA of America officials. Simply go to the CBS All Access landing page and pick the plan you want to purchase. The third round featured threesomes off both tees, meaning close to five-hour rounds on a course that feels even longer to walk because of the soggy conditions.
"I feel safe because I feel safe where my game is", Woodland said.
The 42-year-old is a four-time victor of this event having won the title in 1999, 2000, 2006 and 2007. Mickelson is still expected to be one of captain Jim Furyk's four at-large picks, with three coming on September 4 and the final one coming on September 10.
Jim Furyk will get four captain's picks on September 4, and Mickelson stands a good chance of being one of them. They have also finished their first two rounds. Finau opened with five straight birdies, only to hit into the water and make triple bogey on No. 6.
Kisner cooled on the second nine and Woodland registered another solid side with birdies on 2 and 3 and a bogey on 4.