Finding the Third Proportional to 470,096 and 685,452

Step by Step Solution

1. Step 1: Write the proportion equation
   470,096 : 685,452 = 685,452 : x
2. Step 2: Convert to fraction form
   470,096/685,452 = 685,452/x
3. Step 3: Cross multiply
   470,096x = 685,452 × 685,452
4. Step 4: Simplify right side
   470,096x = 469,844,444,304
5. Step 5: Solve for x
   x = 469,844,444,304/470,096
6. Step 6: Final answer
   x = 999,464.88