Finding the Third Proportional to 144.38 and 311.38

Step by Step Solution

1. Step 1: Write the proportion equation
   144.38 : 311.38 = 311.38 : x
2. Step 2: Convert to fraction form
   144.38/311.38 = 311.38/x
3. Step 3: Cross multiply
   144.38x = 311.38 × 311.38
4. Step 4: Simplify right side
   144.38x = 96,954.39
5. Step 5: Solve for x
   x = 96,954.39/144.38
6. Step 6: Final answer
   x = 671.55