Finding the Third Proportional to 108,256 and 233,744

Step by Step Solution

1. Step 1: Write the proportion equation
   108,256 : 233,744 = 233,744 : x
2. Step 2: Convert to fraction form
   108,256/233,744 = 233,744/x
3. Step 3: Cross multiply
   108,256x = 233,744 × 233,744
4. Step 4: Simplify right side
   108,256x = 54,636,257,536
5. Step 5: Solve for x
   x = 54,636,257,536/108,256
6. Step 6: Final answer
   x = 504,694.96