Finding the Third Proportional to 54.11 and 111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   54.11 : 111.06 = 111.06 : x
2. Step 2: Convert to fraction form
   54.11/111.06 = 111.06/x
3. Step 3: Cross multiply
   54.11x = 111.06 × 111.06
4. Step 4: Simplify right side
   54.11x = 12,334.01
5. Step 5: Solve for x
   x = 12,334.01/54.11
6. Step 6: Final answer
   x = 227.96