Finding the Third Proportional to 124,500 and 267,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,500 : 267,142.50 = 267,142.50 : x
2. Step 2: Convert to fraction form
   124,500/267,142.50 = 267,142.50/x
3. Step 3: Cross multiply
   124,500x = 267,142.50 × 267,142.50
4. Step 4: Simplify right side
   124,500x = 71,365,115,306.25
5. Step 5: Solve for x
   x = 71,365,115,306.25/124,500
6. Step 6: Final answer
   x = 573,213.78