Finding the Third Proportional to 172,500 and 257,688

Step by Step Solution

1. Step 1: Write the proportion equation
   172,500 : 257,688 = 257,688 : x
2. Step 2: Convert to fraction form
   172,500/257,688 = 257,688/x
3. Step 3: Cross multiply
   172,500x = 257,688 × 257,688
4. Step 4: Simplify right side
   172,500x = 66,403,105,344
5. Step 5: Solve for x
   x = 66,403,105,344/172,500
6. Step 6: Final answer
   x = 384,945.54