Finding the Third Proportional to 106.31 and 144.28

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 144.28 = 144.28 : x
2. Step 2: Convert to fraction form
   106.31/144.28 = 144.28/x
3. Step 3: Cross multiply
   106.31x = 144.28 × 144.28
4. Step 4: Simplify right side
   106.31x = 20,817.08
5. Step 5: Solve for x
   x = 20,817.08/106.31
6. Step 6: Final answer
   x = 195.81