Finding the Third Proportional to 60,538.50 and 123,750

Step by Step Solution

1. Step 1: Write the proportion equation
   60,538.50 : 123,750 = 123,750 : x
2. Step 2: Convert to fraction form
   60,538.50/123,750 = 123,750/x
3. Step 3: Cross multiply
   60,538.50x = 123,750 × 123,750
4. Step 4: Simplify right side
   60,538.50x = 15,314,062,500
5. Step 5: Solve for x
   x = 15,314,062,500/60,538.50
6. Step 6: Final answer
   x = 252,964.02