Finding the Third Proportional to 150,598 and 200,768

Step by Step Solution

1. Step 1: Write the proportion equation
   150,598 : 200,768 = 200,768 : x
2. Step 2: Convert to fraction form
   150,598/200,768 = 200,768/x
3. Step 3: Cross multiply
   150,598x = 200,768 × 200,768
4. Step 4: Simplify right side
   150,598x = 40,307,789,824
5. Step 5: Solve for x
   x = 40,307,789,824/150,598
6. Step 6: Final answer
   x = 267,651.56