Finding the Third Proportional to 82,855.50 and 129,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,855.50 : 129,614.50 = 129,614.50 : x
2. Step 2: Convert to fraction form
   82,855.50/129,614.50 = 129,614.50/x
3. Step 3: Cross multiply
   82,855.50x = 129,614.50 × 129,614.50
4. Step 4: Simplify right side
   82,855.50x = 16,799,918,610.25
5. Step 5: Solve for x
   x = 16,799,918,610.25/82,855.50
6. Step 6: Final answer
   x = 202,761.66