Finding the Third Proportional to 82,856.50 and 129,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,856.50 : 129,616.50 = 129,616.50 : x
2. Step 2: Convert to fraction form
   82,856.50/129,616.50 = 129,616.50/x
3. Step 3: Cross multiply
   82,856.50x = 129,616.50 × 129,616.50
4. Step 4: Simplify right side
   82,856.50x = 16,800,437,072.25
5. Step 5: Solve for x
   x = 16,800,437,072.25/82,856.50
6. Step 6: Final answer
   x = 202,765.47