Finding the Third Proportional to 123,329 and 256,377

Step by Step Solution

1. Step 1: Write the proportion equation
   123,329 : 256,377 = 256,377 : x
2. Step 2: Convert to fraction form
   123,329/256,377 = 256,377/x
3. Step 3: Cross multiply
   123,329x = 256,377 × 256,377
4. Step 4: Simplify right side
   123,329x = 65,729,166,129
5. Step 5: Solve for x
   x = 65,729,166,129/123,329
6. Step 6: Final answer
   x = 532,957.91