Finding the Third Proportional to 150,596 and 200,766

Step by Step Solution

1. Step 1: Write the proportion equation
   150,596 : 200,766 = 200,766 : x
2. Step 2: Convert to fraction form
   150,596/200,766 = 200,766/x
3. Step 3: Cross multiply
   150,596x = 200,766 × 200,766
4. Step 4: Simplify right side
   150,596x = 40,306,986,756
5. Step 5: Solve for x
   x = 40,306,986,756/150,596
6. Step 6: Final answer
   x = 267,649.78