Finding the Third Proportional to 82,985 and 129,662

Step by Step Solution

1. Step 1: Write the proportion equation
   82,985 : 129,662 = 129,662 : x
2. Step 2: Convert to fraction form
   82,985/129,662 = 129,662/x
3. Step 3: Cross multiply
   82,985x = 129,662 × 129,662
4. Step 4: Simplify right side
   82,985x = 16,812,234,244
5. Step 5: Solve for x
   x = 16,812,234,244/82,985
6. Step 6: Final answer
   x = 202,593.65