Finding the Third Proportional to 75,132.50 and 117,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,132.50 : 117,007.50 = 117,007.50 : x
2. Step 2: Convert to fraction form
   75,132.50/117,007.50 = 117,007.50/x
3. Step 3: Cross multiply
   75,132.50x = 117,007.50 × 117,007.50
4. Step 4: Simplify right side
   75,132.50x = 13,690,755,056.25
5. Step 5: Solve for x
   x = 13,690,755,056.25/75,132.50
6. Step 6: Final answer
   x = 182,221.48