Josh Proctor attended Owasso High School and was rated a 4-star prospect by 247 Sports with a scout's rating of 0.960, going unranked by ESPN. Following high school, Proctor opted to join Ohio State after being heavily recruited.

In 2018 as a freshman Proctor saw action in just 2 games and played a total of 3 snaps at linebacker for the Buckeyes. He recorded no tackles, no assists, while adding no stops. In coverage Proctor notched up no pass breakups, no interceptions, and an elite QB rating when targetted of .0.

As a sophomore in 2019 he played in 11 games and logged 129 snaps for the Buckeyes. He made 10 tackles, no assists, and had 2 stops. In coverage he totaled 3 pass breakups, one interception, and a decent QB rating when targetted of 77.1.

In 2020 as a junior Proctor played in 7 games and contributed on 357 snaps. He chalked up 21 tackles, one assist, and added 5 stops. In the secondary Proctor forced no pass breakups, one interception, and gave up a decent QB rating when targetted of 89.3.

In 2021 as a senior Proctor saw action in 2 games while playing 84 snaps. He logged 10 tackles, one assist, and made 2 stops. In coverage Proctor had no pass breakups, no interceptions, and surrendered an elite QB rating when targetted of .0.

In 2022 as a fifth year senior Proctor saw action in 8 games while playing 192 snaps. He logged 14 tackles, 11 assists, and made 9 stops. In coverage Proctor had one pass breakup, no interceptions, and surrendered a disapointing QB rating when targetted of 135.1.