Els was the first to fall, arriving at No. 18 at 13 under par, tied for the lead.
Tryon finished 18 under par, tied for 23rd and one stroke ahead of the qualifying cutoff of 17 under.
Starting the day at seven under par, tied for first place with John Cook and Tim Herron, Bradley had a steady round with four birdies and two bogeys.
Tiger Woods, the defending champion, never made a run and finished one under par, tied for 14th.
He shot 76 to finish at 10 over par, tied for 17th.
They earned the honor by finishing two rounds of the United States Open at one over par, tied with, among others, the 21-year-old Masters champion, Woods.
Tom Weiskopf began the third round of the United States Senior Open today at six under par, tied for the lead with Tommy Aaron.
As he walked off the course after his first 18 holes, Woods was four over par, tied for 123rd place, and in serious danger of missing the 36-hole cut.
After an opening-round 66, Woods shot a disappointing 68 today, leaving him at six under par, tied for 10th place heading into Saturday's third round.
Both Woods and Zoeller finished the first round at one under par, tied for fifth place.