Finding the Third Proportional to 57,502 and 123,792

Step by Step Solution

1. Step 1: Write the proportion equation
   57,502 : 123,792 = 123,792 : x
2. Step 2: Convert to fraction form
   57,502/123,792 = 123,792/x
3. Step 3: Cross multiply
   57,502x = 123,792 × 123,792
4. Step 4: Simplify right side
   57,502x = 15,324,459,264
5. Step 5: Solve for x
   x = 15,324,459,264/57,502
6. Step 6: Final answer
   x = 266,503.07