Finding the Third Proportional to 150,588 and 200,757

Step by Step Solution

1. Step 1: Write the proportion equation
   150,588 : 200,757 = 200,757 : x
2. Step 2: Convert to fraction form
   150,588/200,757 = 200,757/x
3. Step 3: Cross multiply
   150,588x = 200,757 × 200,757
4. Step 4: Simplify right side
   150,588x = 40,303,373,049
5. Step 5: Solve for x
   x = 40,303,373,049/150,588
6. Step 6: Final answer
   x = 267,640.00