Finding the Third Proportional to 116,568 and 256,464

Step by Step Solution

1. Step 1: Write the proportion equation
   116,568 : 256,464 = 256,464 : x
2. Step 2: Convert to fraction form
   116,568/256,464 = 256,464/x
3. Step 3: Cross multiply
   116,568x = 256,464 × 256,464
4. Step 4: Simplify right side
   116,568x = 65,773,783,296
5. Step 5: Solve for x
   x = 65,773,783,296/116,568
6. Step 6: Final answer
   x = 564,252.48