Finding the Third Proportional to 200.38 and 318.69

Step by Step Solution

1. Step 1: Write the proportion equation
   200.38 : 318.69 = 318.69 : x
2. Step 2: Convert to fraction form
   200.38/318.69 = 318.69/x
3. Step 3: Cross multiply
   200.38x = 318.69 × 318.69
4. Step 4: Simplify right side
   200.38x = 101,561.72
5. Step 5: Solve for x
   x = 101,561.72/200.38
6. Step 6: Final answer
   x = 506.86