Finding the Third Proportional to 686,506 and 1,420,748

Step by Step Solution

1. Step 1: Write the proportion equation
   686,506 : 1,420,748 = 1,420,748 : x
2. Step 2: Convert to fraction form
   686,506/1,420,748 = 1,420,748/x
3. Step 3: Cross multiply
   686,506x = 1,420,748 × 1,420,748
4. Step 4: Simplify right side
   686,506x = 2,018,524,879,504
5. Step 5: Solve for x
   x = 2,018,524,879,504/686,506
6. Step 6: Final answer
   x = 2,940,287.31