Finding the Third Proportional to 54.19 and 109.88

Step by Step Solution

1. Step 1: Write the proportion equation
   54.19 : 109.88 = 109.88 : x
2. Step 2: Convert to fraction form
   54.19/109.88 = 109.88/x
3. Step 3: Cross multiply
   54.19x = 109.88 × 109.88
4. Step 4: Simplify right side
   54.19x = 12,072.52
5. Step 5: Solve for x
   x = 12,072.52/54.19
6. Step 6: Final answer
   x = 222.79