Finding the Third Proportional to 116,325 and 256,218

Step by Step Solution

1. Step 1: Write the proportion equation
   116,325 : 256,218 = 256,218 : x
2. Step 2: Convert to fraction form
   116,325/256,218 = 256,218/x
3. Step 3: Cross multiply
   116,325x = 256,218 × 256,218
4. Step 4: Simplify right side
   116,325x = 65,647,663,524
5. Step 5: Solve for x
   x = 65,647,663,524/116,325
6. Step 6: Final answer
   x = 564,346.99