Finding the Third Proportional to 83,971.69 and 181,470.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,971.69 : 181,470.38 = 181,470.38 : x
2. Step 2: Convert to fraction form
   83,971.69/181,470.38 = 181,470.38/x
3. Step 3: Cross multiply
   83,971.69x = 181,470.38 × 181,470.38
4. Step 4: Simplify right side
   83,971.69x = 32,931,497,002.64
5. Step 5: Solve for x
   x = 32,931,497,002.64/83,971.69
6. Step 6: Final answer
   x = 392,173.81