Preheat oven to 350°F.
Combine cream cheese, yogurt, and mayonnaise in a mixing bowl; stir until thoroughly combined.
Add Monterey Jack and Parmesan, stirring to combine.
Add garlic powder and chili powder, mixing well.
Stir corn and chiles into mixture.
Season with pepper to taste.
Grease a 2-quart baking dish.
Transfer corn dip to baking dish.
Bake for 25 minutes or until dip is bubbling.
Serve with corn chips, butter crackers, or snack item of your choice.