Finding the Third Proportional to 300.38 and 496.78

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 496.78 = 496.78 : x
2. Step 2: Convert to fraction form
   300.38/496.78 = 496.78/x
3. Step 3: Cross multiply
   300.38x = 496.78 × 496.78
4. Step 4: Simplify right side
   300.38x = 246,791.61
5. Step 5: Solve for x
   x = 246,791.61/300.38
6. Step 6: Final answer
   x = 821.61