Finding the Third Proportional to 75,697.50 and 108,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,697.50 : 108,625.50 = 108,625.50 : x
2. Step 2: Convert to fraction form
   75,697.50/108,625.50 = 108,625.50/x
3. Step 3: Cross multiply
   75,697.50x = 108,625.50 × 108,625.50
4. Step 4: Simplify right side
   75,697.50x = 11,799,499,250.25
5. Step 5: Solve for x
   x = 11,799,499,250.25/75,697.50
6. Step 6: Final answer
   x = 155,877.00