Finding the Third Proportional to 171,656 and 256,510

Step by Step Solution

1. Step 1: Write the proportion equation
   171,656 : 256,510 = 256,510 : x
2. Step 2: Convert to fraction form
   171,656/256,510 = 256,510/x
3. Step 3: Cross multiply
   171,656x = 256,510 × 256,510
4. Step 4: Simplify right side
   171,656x = 65,797,380,100
5. Step 5: Solve for x
   x = 65,797,380,100/171,656
6. Step 6: Final answer
   x = 383,309.53