Finding the Third Proportional to 83,379 and 173,670

Step by Step Solution

1. Step 1: Write the proportion equation
   83,379 : 173,670 = 173,670 : x
2. Step 2: Convert to fraction form
   83,379/173,670 = 173,670/x
3. Step 3: Cross multiply
   83,379x = 173,670 × 173,670
4. Step 4: Simplify right side
   83,379x = 30,161,268,900
5. Step 5: Solve for x
   x = 30,161,268,900/83,379
6. Step 6: Final answer
   x = 361,736.99