Finding the Third Proportional to 82,320 and 126,900

Step by Step Solution

1. Step 1: Write the proportion equation
   82,320 : 126,900 = 126,900 : x
2. Step 2: Convert to fraction form
   82,320/126,900 = 126,900/x
3. Step 3: Cross multiply
   82,320x = 126,900 × 126,900
4. Step 4: Simplify right side
   82,320x = 16,103,610,000
5. Step 5: Solve for x
   x = 16,103,610,000/82,320
6. Step 6: Final answer
   x = 195,622.08