Finding the Third Proportional to 82,856 and 129,616

Step by Step Solution

1. Step 1: Write the proportion equation
   82,856 : 129,616 = 129,616 : x
2. Step 2: Convert to fraction form
   82,856/129,616 = 129,616/x
3. Step 3: Cross multiply
   82,856x = 129,616 × 129,616
4. Step 4: Simplify right side
   82,856x = 16,800,307,456
5. Step 5: Solve for x
   x = 16,800,307,456/82,856
6. Step 6: Final answer
   x = 202,765.13