Finding the Third Proportional to 123,328 and 256,375

Step by Step Solution

1. Step 1: Write the proportion equation
   123,328 : 256,375 = 256,375 : x
2. Step 2: Convert to fraction form
   123,328/256,375 = 256,375/x
3. Step 3: Cross multiply
   123,328x = 256,375 × 256,375
4. Step 4: Simplify right side
   123,328x = 65,728,140,625
5. Step 5: Solve for x
   x = 65,728,140,625/123,328
6. Step 6: Final answer
   x = 532,953.92