Finding the Third Proportional to 686,504 and 1,420,744

Step by Step Solution

1. Step 1: Write the proportion equation
   686,504 : 1,420,744 = 1,420,744 : x
2. Step 2: Convert to fraction form
   686,504/1,420,744 = 1,420,744/x
3. Step 3: Cross multiply
   686,504x = 1,420,744 × 1,420,744
4. Step 4: Simplify right side
   686,504x = 2,018,513,513,536
5. Step 5: Solve for x
   x = 2,018,513,513,536/686,504
6. Step 6: Final answer
   x = 2,940,279.32