Finding the Third Proportional to 54.40 and 117.81

Step by Step Solution

1. Step 1: Write the proportion equation
   54.40 : 117.81 = 117.81 : x
2. Step 2: Convert to fraction form
   54.40/117.81 = 117.81/x
3. Step 3: Cross multiply
   54.40x = 117.81 × 117.81
4. Step 4: Simplify right side
   54.40x = 13,878.86
5. Step 5: Solve for x
   x = 13,878.86/54.40
6. Step 6: Final answer
   x = 255.15