Finding the Third Proportional to 110.72 and 144.14

Step by Step Solution

1. Step 1: Write the proportion equation
   110.72 : 144.14 = 144.14 : x
2. Step 2: Convert to fraction form
   110.72/144.14 = 144.14/x
3. Step 3: Cross multiply
   110.72x = 144.14 × 144.14
4. Step 4: Simplify right side
   110.72x = 20,776.52
5. Step 5: Solve for x
   x = 20,776.52/110.72
6. Step 6: Final answer
   x = 187.65