Chase Daniel threw for two touchdowns and ran for a third, completing 27 of 46 passes for 328 yards for Missouri.
As it did in season-opening victories against Illinois and Mississippi, Missouri (3-0) built a big first-half lead -- going up 31-3 on the Broncos (0-3) -- before withstanding a second-half comeback that briefly cut the lead to 14.
But the Tigers' defense stopped Western Michigan when it counted, including a fourth-and-goal from the 6 midway through the fourth quarter.
Missouri wasted little time at the outset, with Maclin catching a 24-yard touchdown pass from Daniel to cap a 6-play, 72-yard opening drive.
The Tigers extended the lead to 14-0 on a 1-yard touchdown run by Temple -- Missouri's first rushing score of the season. Linebacker Brock Christopher's interception set up the 46-yard scoring drive, which also featured a 39-yard scramble by Daniel before he was knocked out of bounds at the 1.
The run was a career long for Daniel, who added a 35-yard run for a score in the fourth quarter.
Daniel entered the game with a chance to set the Division I record for consecutive passes without an interception, having thrown 235 in a row without a pick, a streak dating back to a Nov. 4, 2006 game against Nebraska.
He extended the mark with his first 19 passes Saturday before Western Michigan's Anthony Gebhart picked off Daniel with 3:31 remaining in the second quarter. That play preserved the national mark of 271 set by Trent Dilfer at Fresno State.
Maclin added his second touchdown early in the second quarter with a 17-yard run on a direct snap to the receiver, who was lined up in the shotgun.
Maclin caught seven passes for 96 yards, rushed six times for 52 yards, returned five kickoffs for 96 yards and returned two punts for 31 yards.
Maclin nearly had another long score on a third-quarter kickoff, but ran into the back of a blocker and had to settle for a 29-year return. And his 23-yard punt return in the third quarter deep into Western Michigan territory set up Temple's second rushing touchdown to make it 38-10.
Mark Bonds had a 9-yard touchdown run and Branden Ledbetter added a 27-yard scoring reception for Western Michigan, both in the fourth quarter. Ledbetter's score allowed the Broncos to cut the lead to 38-24 before Daniel ran for a 35-yard touchdown.
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