Finding the Third Proportional to 82,632 and 181,080

Step by Step Solution

1. Step 1: Write the proportion equation
   82,632 : 181,080 = 181,080 : x
2. Step 2: Convert to fraction form
   82,632/181,080 = 181,080/x
3. Step 3: Cross multiply
   82,632x = 181,080 × 181,080
4. Step 4: Simplify right side
   82,632x = 32,789,966,400
5. Step 5: Solve for x
   x = 32,789,966,400/82,632
6. Step 6: Final answer
   x = 396,819.23