Finding the Third Proportional to 62,499 and 137,505

Step by Step Solution

1. Step 1: Write the proportion equation
   62,499 : 137,505 = 137,505 : x
2. Step 2: Convert to fraction form
   62,499/137,505 = 137,505/x
3. Step 3: Cross multiply
   62,499x = 137,505 × 137,505
4. Step 4: Simplify right side
   62,499x = 18,907,625,025
5. Step 5: Solve for x
   x = 18,907,625,025/62,499
6. Step 6: Final answer
   x = 302,526.84