Finding the Third Proportional to 171,650 and 256,500

Step by Step Solution

1. Step 1: Write the proportion equation
   171,650 : 256,500 = 256,500 : x
2. Step 2: Convert to fraction form
   171,650/256,500 = 256,500/x
3. Step 3: Cross multiply
   171,650x = 256,500 × 256,500
4. Step 4: Simplify right side
   171,650x = 65,792,250,000
5. Step 5: Solve for x
   x = 65,792,250,000/171,650
6. Step 6: Final answer
   x = 383,293.04