Finding the Third Proportional to 144.75 and 200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   144.75 : 200.25 = 200.25 : x
2. Step 2: Convert to fraction form
   144.75/200.25 = 200.25/x
3. Step 3: Cross multiply
   144.75x = 200.25 × 200.25
4. Step 4: Simplify right side
   144.75x = 40,100.06
5. Step 5: Solve for x
   x = 40,100.06/144.75
6. Step 6: Final answer
   x = 277.03