Finding the Third Proportional to 123,359 and 256,414

Step by Step Solution

1. Step 1: Write the proportion equation
   123,359 : 256,414 = 256,414 : x
2. Step 2: Convert to fraction form
   123,359/256,414 = 256,414/x
3. Step 3: Cross multiply
   123,359x = 256,414 × 256,414
4. Step 4: Simplify right side
   123,359x = 65,748,139,396
5. Step 5: Solve for x
   x = 65,748,139,396/123,359
6. Step 6: Final answer
   x = 532,982.10