Finding the Third Proportional to 300.38 and 462.38

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 462.38 = 462.38 : x
2. Step 2: Convert to fraction form
   300.38/462.38 = 462.38/x
3. Step 3: Cross multiply
   300.38x = 462.38 × 462.38
4. Step 4: Simplify right side
   300.38x = 213,790.64
5. Step 5: Solve for x
   x = 213,790.64/300.38
6. Step 6: Final answer
   x = 711.75