Finding the Third Proportional to 54,160 and 118,256

Step by Step Solution

1. Step 1: Write the proportion equation
   54,160 : 118,256 = 118,256 : x
2. Step 2: Convert to fraction form
   54,160/118,256 = 118,256/x
3. Step 3: Cross multiply
   54,160x = 118,256 × 118,256
4. Step 4: Simplify right side
   54,160x = 13,984,481,536
5. Step 5: Solve for x
   x = 13,984,481,536/54,160
6. Step 6: Final answer
   x = 258,206.82