Finding the Third Proportional to 686,747 and 1,491,710

Step by Step Solution

1. Step 1: Write the proportion equation
   686,747 : 1,491,710 = 1,491,710 : x
2. Step 2: Convert to fraction form
   686,747/1,491,710 = 1,491,710/x
3. Step 3: Cross multiply
   686,747x = 1,491,710 × 1,491,710
4. Step 4: Simplify right side
   686,747x = 2,225,198,724,100
5. Step 5: Solve for x
   x = 2,225,198,724,100/686,747
6. Step 6: Final answer
   x = 3,240,201.59