Finding the Third Proportional to 172,456.50 and 231,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,456.50 : 231,751.50 = 231,751.50 : x
2. Step 2: Convert to fraction form
   172,456.50/231,751.50 = 231,751.50/x
3. Step 3: Cross multiply
   172,456.50x = 231,751.50 × 231,751.50
4. Step 4: Simplify right side
   172,456.50x = 53,708,757,752.25
5. Step 5: Solve for x
   x = 53,708,757,752.25/172,456.50
6. Step 6: Final answer
   x = 311,433.65