Finding the Third Proportional to 110.72 and 165.42

Step by Step Solution

1. Step 1: Write the proportion equation
   110.72 : 165.42 = 165.42 : x
2. Step 2: Convert to fraction form
   110.72/165.42 = 165.42/x
3. Step 3: Cross multiply
   110.72x = 165.42 × 165.42
4. Step 4: Simplify right side
   110.72x = 27,364.40
5. Step 5: Solve for x
   x = 27,364.40/110.72
6. Step 6: Final answer
   x = 247.15