Finding the Third Proportional to 144.38 and 299.63

Step by Step Solution

1. Step 1: Write the proportion equation
   144.38 : 299.63 = 299.63 : x
2. Step 2: Convert to fraction form
   144.38/299.63 = 299.63/x
3. Step 3: Cross multiply
   144.38x = 299.63 × 299.63
4. Step 4: Simplify right side
   144.38x = 89,775.14
5. Step 5: Solve for x
   x = 89,775.14/144.38
6. Step 6: Final answer
   x = 621.82