Finding the Third Proportional to 333,584 and 709,452

Step by Step Solution

1. Step 1: Write the proportion equation
   333,584 : 709,452 = 709,452 : x
2. Step 2: Convert to fraction form
   333,584/709,452 = 709,452/x
3. Step 3: Cross multiply
   333,584x = 709,452 × 709,452
4. Step 4: Simplify right side
   333,584x = 503,322,140,304
5. Step 5: Solve for x
   x = 503,322,140,304/333,584
6. Step 6: Final answer
   x = 1,508,831.78