Finding the Third Proportional to 113,728 and 264,384

Step by Step Solution

1. Step 1: Write the proportion equation
   113,728 : 264,384 = 264,384 : x
2. Step 2: Convert to fraction form
   113,728/264,384 = 264,384/x
3. Step 3: Cross multiply
   113,728x = 264,384 × 264,384
4. Step 4: Simplify right side
   113,728x = 69,898,899,456
5. Step 5: Solve for x
   x = 69,898,899,456/113,728
6. Step 6: Final answer
   x = 614,614.69