Finding the Third Proportional to 146.38 and 299.38

Step by Step Solution

1. Step 1: Write the proportion equation
   146.38 : 299.38 = 299.38 : x
2. Step 2: Convert to fraction form
   146.38/299.38 = 299.38/x
3. Step 3: Cross multiply
   146.38x = 299.38 × 299.38
4. Step 4: Simplify right side
   146.38x = 89,625.39
5. Step 5: Solve for x
   x = 89,625.39/146.38
6. Step 6: Final answer
   x = 612.30