Finding the Third Proportional to 123,358 and 256,413

Step by Step Solution

1. Step 1: Write the proportion equation
   123,358 : 256,413 = 256,413 : x
2. Step 2: Convert to fraction form
   123,358/256,413 = 256,413/x
3. Step 3: Cross multiply
   123,358x = 256,413 × 256,413
4. Step 4: Simplify right side
   123,358x = 65,747,626,569
5. Step 5: Solve for x
   x = 65,747,626,569/123,358
6. Step 6: Final answer
   x = 532,982.27