Finding the Third Proportional to 82,720 and 181,088

Step by Step Solution

1. Step 1: Write the proportion equation
   82,720 : 181,088 = 181,088 : x
2. Step 2: Convert to fraction form
   82,720/181,088 = 181,088/x
3. Step 3: Cross multiply
   82,720x = 181,088 × 181,088
4. Step 4: Simplify right side
   82,720x = 32,792,863,744
5. Step 5: Solve for x
   x = 32,792,863,744/82,720
6. Step 6: Final answer
   x = 396,432.11