Put the cake mix, thawed margarita mix, zest and juice of 1 medium lime, the egg whites, and the vegetable oil in a large mixing bowl or stand mixer bowl. Mix on low speed for 30 seconds, and then increase speed to beat on medium speed for 2 minutes.
1 package coconut cake mix, 1 cup frozen margarita mix, 1 medium lime, 3 large egg whites, 3 tbsp vegetable oil