Finding the Third Proportional to 320,544 and 685,568

Step by Step Solution

1. Step 1: Write the proportion equation
   320,544 : 685,568 = 685,568 : x
2. Step 2: Convert to fraction form
   320,544/685,568 = 685,568/x
3. Step 3: Cross multiply
   320,544x = 685,568 × 685,568
4. Step 4: Simplify right side
   320,544x = 470,003,482,624
5. Step 5: Solve for x
   x = 470,003,482,624/320,544
6. Step 6: Final answer
   x = 1,466,268.23