Finding the Third Proportional to 54,384 and 116,256

Step by Step Solution

1. Step 1: Write the proportion equation
   54,384 : 116,256 = 116,256 : x
2. Step 2: Convert to fraction form
   54,384/116,256 = 116,256/x
3. Step 3: Cross multiply
   54,384x = 116,256 × 116,256
4. Step 4: Simplify right side
   54,384x = 13,515,457,536
5. Step 5: Solve for x
   x = 13,515,457,536/54,384
6. Step 6: Final answer
   x = 248,519.00