Finding the Third Proportional to 80,499 and 174,828

Step by Step Solution

1. Step 1: Write the proportion equation
   80,499 : 174,828 = 174,828 : x
2. Step 2: Convert to fraction form
   80,499/174,828 = 174,828/x
3. Step 3: Cross multiply
   80,499x = 174,828 × 174,828
4. Step 4: Simplify right side
   80,499x = 30,564,829,584
5. Step 5: Solve for x
   x = 30,564,829,584/80,499
6. Step 6: Final answer
   x = 379,692.04