Finding the Third Proportional to 144.75 and 228.81

Step by Step Solution

1. Step 1: Write the proportion equation
   144.75 : 228.81 = 228.81 : x
2. Step 2: Convert to fraction form
   144.75/228.81 = 228.81/x
3. Step 3: Cross multiply
   144.75x = 228.81 × 228.81
4. Step 4: Simplify right side
   144.75x = 52,355.16
5. Step 5: Solve for x
   x = 52,355.16/144.75
6. Step 6: Final answer
   x = 361.69