Finding the Third Proportional to 150.38 and 200.69

Step by Step Solution

1. Step 1: Write the proportion equation
   150.38 : 200.69 = 200.69 : x
2. Step 2: Convert to fraction form
   150.38/200.69 = 200.69/x
3. Step 3: Cross multiply
   150.38x = 200.69 × 200.69
4. Step 4: Simplify right side
   150.38x = 40,275.47
5. Step 5: Solve for x
   x = 40,275.47/150.38
6. Step 6: Final answer
   x = 267.83