Finding the Third Proportional to 685,728 and 1,404,864

Step by Step Solution

1. Step 1: Write the proportion equation
   685,728 : 1,404,864 = 1,404,864 : x
2. Step 2: Convert to fraction form
   685,728/1,404,864 = 1,404,864/x
3. Step 3: Cross multiply
   685,728x = 1,404,864 × 1,404,864
4. Step 4: Simplify right side
   685,728x = 1,973,642,858,496
5. Step 5: Solve for x
   x = 1,973,642,858,496/685,728
6. Step 6: Final answer
   x = 2,878,171.61