Finding the Third Proportional to 62,499 and 137,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,499 : 137,503.50 = 137,503.50 : x
2. Step 2: Convert to fraction form
   62,499/137,503.50 = 137,503.50/x
3. Step 3: Cross multiply
   62,499x = 137,503.50 × 137,503.50
4. Step 4: Simplify right side
   62,499x = 18,907,212,512.25
5. Step 5: Solve for x
   x = 18,907,212,512.25/62,499
6. Step 6: Final answer
   x = 302,520.24