Finding the Third Proportional to 320,568 and 685,608

Step by Step Solution

1. Step 1: Write the proportion equation
   320,568 : 685,608 = 685,608 : x
2. Step 2: Convert to fraction form
   320,568/685,608 = 685,608/x
3. Step 3: Cross multiply
   320,568x = 685,608 × 685,608
4. Step 4: Simplify right side
   320,568x = 470,058,329,664
5. Step 5: Solve for x
   x = 470,058,329,664/320,568
6. Step 6: Final answer
   x = 1,466,329.55