Finding the Third Proportional to 83,472 and 181,098

Step by Step Solution

1. Step 1: Write the proportion equation
   83,472 : 181,098 = 181,098 : x
2. Step 2: Convert to fraction form
   83,472/181,098 = 181,098/x
3. Step 3: Cross multiply
   83,472x = 181,098 × 181,098
4. Step 4: Simplify right side
   83,472x = 32,796,485,604
5. Step 5: Solve for x
   x = 32,796,485,604/83,472
6. Step 6: Final answer
   x = 392,904.03