Finding the Third Proportional to 150,591 and 200,762

Step by Step Solution

1. Step 1: Write the proportion equation
   150,591 : 200,762 = 200,762 : x
2. Step 2: Convert to fraction form
   150,591/200,762 = 200,762/x
3. Step 3: Cross multiply
   150,591x = 200,762 × 200,762
4. Step 4: Simplify right side
   150,591x = 40,305,380,644
5. Step 5: Solve for x
   x = 40,305,380,644/150,591
6. Step 6: Final answer
   x = 267,648.00