Finding the Third Proportional to 686,540 and 1,435,816

Step by Step Solution

1. Step 1: Write the proportion equation
   686,540 : 1,435,816 = 1,435,816 : x
2. Step 2: Convert to fraction form
   686,540/1,435,816 = 1,435,816/x
3. Step 3: Cross multiply
   686,540x = 1,435,816 × 1,435,816
4. Step 4: Simplify right side
   686,540x = 2,061,567,585,856
5. Step 5: Solve for x
   x = 2,061,567,585,856/686,540
6. Step 6: Final answer
   x = 3,002,836.81