Finding the Third Proportional to 80,499 and 174,836

Step by Step Solution

1. Step 1: Write the proportion equation
   80,499 : 174,836 = 174,836 : x
2. Step 2: Convert to fraction form
   80,499/174,836 = 174,836/x
3. Step 3: Cross multiply
   80,499x = 174,836 × 174,836
4. Step 4: Simplify right side
   80,499x = 30,567,626,896
5. Step 5: Solve for x
   x = 30,567,626,896/80,499
6. Step 6: Final answer
   x = 379,726.79