Columbus and Pittsburgh are about 162 miles apart by road. Split the difference and you arrive near Cleveland, the city closest to the halfway point between them. That splits the trip almost evenly — about 3 hr 9 min from Columbus and 2 hr 52 min from Pittsburgh.
At this range, Cleveland works for a same-day meetup: close enough from both Columbus and Pittsburgh to meet for lunch or an afternoon and still be home by evening.
If Cleveland doesn't have what you're after, Detroit and Cincinnati are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Columbus and Pittsburgh.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.