Finding the Third Proportional to 150,416 and 321,568

Step by Step Solution

1. Step 1: Write the proportion equation
   150,416 : 321,568 = 321,568 : x
2. Step 2: Convert to fraction form
   150,416/321,568 = 321,568/x
3. Step 3: Cross multiply
   150,416x = 321,568 × 321,568
4. Step 4: Simplify right side
   150,416x = 103,405,978,624
5. Step 5: Solve for x
   x = 103,405,978,624/150,416
6. Step 6: Final answer
   x = 687,466.62