Finding the Third Proportional to 686,722 and 1,491,665

Step by Step Solution

1. Step 1: Write the proportion equation
   686,722 : 1,491,665 = 1,491,665 : x
2. Step 2: Convert to fraction form
   686,722/1,491,665 = 1,491,665/x
3. Step 3: Cross multiply
   686,722x = 1,491,665 × 1,491,665
4. Step 4: Simplify right side
   686,722x = 2,225,064,472,225
5. Step 5: Solve for x
   x = 2,225,064,472,225/686,722
6. Step 6: Final answer
   x = 3,240,124.06