Finding the Third Proportional to 686,502 and 1,420,740

Step by Step Solution

1. Step 1: Write the proportion equation
   686,502 : 1,420,740 = 1,420,740 : x
2. Step 2: Convert to fraction form
   686,502/1,420,740 = 1,420,740/x
3. Step 3: Cross multiply
   686,502x = 1,420,740 × 1,420,740
4. Step 4: Simplify right side
   686,502x = 2,018,502,147,600
5. Step 5: Solve for x
   x = 2,018,502,147,600/686,502
6. Step 6: Final answer
   x = 2,940,271.33