Finding the Third Proportional to 171,644 and 256,492

Step by Step Solution

1. Step 1: Write the proportion equation
   171,644 : 256,492 = 256,492 : x
2. Step 2: Convert to fraction form
   171,644/256,492 = 256,492/x
3. Step 3: Cross multiply
   171,644x = 256,492 × 256,492
4. Step 4: Simplify right side
   171,644x = 65,788,146,064
5. Step 5: Solve for x
   x = 65,788,146,064/171,644
6. Step 6: Final answer
   x = 383,282.53