Finding the Third Proportional to 82,025 and 126,500

Step by Step Solution

1. Step 1: Write the proportion equation
   82,025 : 126,500 = 126,500 : x
2. Step 2: Convert to fraction form
   82,025/126,500 = 126,500/x
3. Step 3: Cross multiply
   82,025x = 126,500 × 126,500
4. Step 4: Simplify right side
   82,025x = 16,002,250,000
5. Step 5: Solve for x
   x = 16,002,250,000/82,025
6. Step 6: Final answer
   x = 195,089.91