Finding the Third Proportional to 150,852 and 320,976

Step by Step Solution

1. Step 1: Write the proportion equation
   150,852 : 320,976 = 320,976 : x
2. Step 2: Convert to fraction form
   150,852/320,976 = 320,976/x
3. Step 3: Cross multiply
   150,852x = 320,976 × 320,976
4. Step 4: Simplify right side
   150,852x = 103,025,592,576
5. Step 5: Solve for x
   x = 103,025,592,576/150,852
6. Step 6: Final answer
   x = 682,958.08