Finding the Third Proportional to 172,469 and 231,766

Step by Step Solution

1. Step 1: Write the proportion equation
   172,469 : 231,766 = 231,766 : x
2. Step 2: Convert to fraction form
   172,469/231,766 = 231,766/x
3. Step 3: Cross multiply
   172,469x = 231,766 × 231,766
4. Step 4: Simplify right side
   172,469x = 53,715,478,756
5. Step 5: Solve for x
   x = 53,715,478,756/172,469
6. Step 6: Final answer
   x = 311,450.05