Finding the Third Proportional to 144.28 and 223.38

Step by Step Solution

1. Step 1: Write the proportion equation
   144.28 : 223.38 = 223.38 : x
2. Step 2: Convert to fraction form
   144.28/223.38 = 223.38/x
3. Step 3: Cross multiply
   144.28x = 223.38 × 223.38
4. Step 4: Simplify right side
   144.28x = 49,899.88
5. Step 5: Solve for x
   x = 49,899.88/144.28
6. Step 6: Final answer
   x = 345.85