* Australian tied with Tringale after 65 * McIlroy also has a 65 to go three under (Adds details, quotes) By Larry Fine PARAMUS, New Jersey, Aug 22 (Reuters) - Adam Scott used a run of four successive birdies on Friday to vault into a share of the halfway lead at The Barclays, and Rory McIlroy joined the fray at the opener of the four-event FedExCup playoffs. Scott, the Australian world number two, caught fire from the par-four fifth hole to post a 31 on the front nine and added two more birdies including a nice finishing touch at 18 to complete a 65 for eight-under 134 along with American Cameron Tringale. Scott was hitting the ball like a dream from tee to green, and reckoned he might have broken 60 if he had taken advantage of the par-fives and cashed in with his putter on a host of other scoring opportunities. So I could find four there for you, and missed so many 10-footers it felt like." Asked if a 59 might have been possible for him, Scott said: "Well, ifs and buts, but I played well enough if I had it really going on the green today to do that for sure." Tringale, who last week disqualified himself from the PGA Championship for signing an incorrect scorecard, shot a 68 to share a one-stroke lead with Scott on a jammed pack leaderboard. More...