Finding the Third Proportional to 172,475 and 257,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,475 : 257,648.50 = 257,648.50 : x
2. Step 2: Convert to fraction form
   172,475/257,648.50 = 257,648.50/x
3. Step 3: Cross multiply
   172,475x = 257,648.50 × 257,648.50
4. Step 4: Simplify right side
   172,475x = 66,382,749,552.25
5. Step 5: Solve for x
   x = 66,382,749,552.25/172,475
6. Step 6: Final answer
   x = 384,883.31