Finding the Third Proportional to 80,355 and 173,670

Step by Step Solution

1. Step 1: Write the proportion equation
   80,355 : 173,670 = 173,670 : x
2. Step 2: Convert to fraction form
   80,355/173,670 = 173,670/x
3. Step 3: Cross multiply
   80,355x = 173,670 × 173,670
4. Step 4: Simplify right side
   80,355x = 30,161,268,900
5. Step 5: Solve for x
   x = 30,161,268,900/80,355
6. Step 6: Final answer
   x = 375,350.24