Finding the Third Proportional to 123,356.25 and 256,408.31

Step by Step Solution

1. Step 1: Write the proportion equation
   123,356.25 : 256,408.31 = 256,408.31 : x
2. Step 2: Convert to fraction form
   123,356.25/256,408.31 = 256,408.31/x
3. Step 3: Cross multiply
   123,356.25x = 256,408.31 × 256,408.31
4. Step 4: Simplify right side
   123,356.25x = 65,745,222,719.10
5. Step 5: Solve for x
   x = 65,745,222,719.10/123,356.25
6. Step 6: Final answer
   x = 532,970.34