Finding the Third Proportional to 320,601 and 685,674

Step by Step Solution

1. Step 1: Write the proportion equation
   320,601 : 685,674 = 685,674 : x
2. Step 2: Convert to fraction form
   320,601/685,674 = 685,674/x
3. Step 3: Cross multiply
   320,601x = 685,674 × 685,674
4. Step 4: Simplify right side
   320,601x = 470,148,834,276
5. Step 5: Solve for x
   x = 470,148,834,276/320,601
6. Step 6: Final answer
   x = 1,466,460.91