Finding the Third Proportional to 82,819.50 and 129,149.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,819.50 : 129,149.25 = 129,149.25 : x
2. Step 2: Convert to fraction form
   82,819.50/129,149.25 = 129,149.25/x
3. Step 3: Cross multiply
   82,819.50x = 129,149.25 × 129,149.25
4. Step 4: Simplify right side
   82,819.50x = 16,679,528,775.56
5. Step 5: Solve for x
   x = 16,679,528,775.56/82,819.50
6. Step 6: Final answer
   x = 201,396.15