Finding the Third Proportional to 57,652 and 123,920

Step by Step Solution

1. Step 1: Write the proportion equation
   57,652 : 123,920 = 123,920 : x
2. Step 2: Convert to fraction form
   57,652/123,920 = 123,920/x
3. Step 3: Cross multiply
   57,652x = 123,920 × 123,920
4. Step 4: Simplify right side
   57,652x = 15,356,166,400
5. Step 5: Solve for x
   x = 15,356,166,400/57,652
6. Step 6: Final answer
   x = 266,359.65