Finding the Third Proportional to 82,166 and 126,730

Step by Step Solution

1. Step 1: Write the proportion equation
   82,166 : 126,730 = 126,730 : x
2. Step 2: Convert to fraction form
   82,166/126,730 = 126,730/x
3. Step 3: Cross multiply
   82,166x = 126,730 × 126,730
4. Step 4: Simplify right side
   82,166x = 16,060,492,900
5. Step 5: Solve for x
   x = 16,060,492,900/82,166
6. Step 6: Final answer
   x = 195,463.97