Finding the Third Proportional to 172,476 and 257,650

Step by Step Solution

1. Step 1: Write the proportion equation
   172,476 : 257,650 = 257,650 : x
2. Step 2: Convert to fraction form
   172,476/257,650 = 257,650/x
3. Step 3: Cross multiply
   172,476x = 257,650 × 257,650
4. Step 4: Simplify right side
   172,476x = 66,383,522,500
5. Step 5: Solve for x
   x = 66,383,522,500/172,476
6. Step 6: Final answer
   x = 384,885.56