Finding the Third Proportional to 83,412 and 173,727

Step by Step Solution

1. Step 1: Write the proportion equation
   83,412 : 173,727 = 173,727 : x
2. Step 2: Convert to fraction form
   83,412/173,727 = 173,727/x
3. Step 3: Cross multiply
   83,412x = 173,727 × 173,727
4. Step 4: Simplify right side
   83,412x = 30,181,070,529
5. Step 5: Solve for x
   x = 30,181,070,529/83,412
6. Step 6: Final answer
   x = 361,831.28