Finding the Third Proportional to 54.78 and 118.17

Step by Step Solution

1. Step 1: Write the proportion equation
   54.78 : 118.17 = 118.17 : x
2. Step 2: Convert to fraction form
   54.78/118.17 = 118.17/x
3. Step 3: Cross multiply
   54.78x = 118.17 × 118.17
4. Step 4: Simplify right side
   54.78x = 13,963.35
5. Step 5: Solve for x
   x = 13,963.35/54.78
6. Step 6: Final answer
   x = 254.88