Finding the Third Proportional to 169,499 and 256,436

Step by Step Solution

1. Step 1: Write the proportion equation
   169,499 : 256,436 = 256,436 : x
2. Step 2: Convert to fraction form
   169,499/256,436 = 256,436/x
3. Step 3: Cross multiply
   169,499x = 256,436 × 256,436
4. Step 4: Simplify right side
   169,499x = 65,759,422,096
5. Step 5: Solve for x
   x = 65,759,422,096/169,499
6. Step 6: Final answer
   x = 387,963.48