Finding the Third Proportional to 82,820 and 129,150

Step by Step Solution

1. Step 1: Write the proportion equation
   82,820 : 129,150 = 129,150 : x
2. Step 2: Convert to fraction form
   82,820/129,150 = 129,150/x
3. Step 3: Cross multiply
   82,820x = 129,150 × 129,150
4. Step 4: Simplify right side
   82,820x = 16,679,722,500
5. Step 5: Solve for x
   x = 16,679,722,500/82,820
6. Step 6: Final answer
   x = 201,397.28