Finding the Third Proportional to 144.16 and 190.61

Step by Step Solution

1. Step 1: Write the proportion equation
   144.16 : 190.61 = 190.61 : x
2. Step 2: Convert to fraction form
   144.16/190.61 = 190.61/x
3. Step 3: Cross multiply
   144.16x = 190.61 × 190.61
4. Step 4: Simplify right side
   144.16x = 36,334.07
5. Step 5: Solve for x
   x = 36,334.07/144.16
6. Step 6: Final answer
   x = 252.04