Finding the Third Proportional to 105.06 and 144.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.06 : 144.38 = 144.38 : x
2. Step 2: Convert to fraction form
   105.06/144.38 = 144.38/x
3. Step 3: Cross multiply
   105.06x = 144.38 × 144.38
4. Step 4: Simplify right side
   105.06x = 20,844.14
5. Step 5: Solve for x
   x = 20,844.14/105.06
6. Step 6: Final answer
   x = 198.40