Finding the Third Proportional to 144.25 and 190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144.25 : 190.50 = 190.50 : x
2. Step 2: Convert to fraction form
   144.25/190.50 = 190.50/x
3. Step 3: Cross multiply
   144.25x = 190.50 × 190.50
4. Step 4: Simplify right side
   144.25x = 36,290.25
5. Step 5: Solve for x
   x = 36,290.25/144.25
6. Step 6: Final answer
   x = 251.58