Finding the Third Proportional to 686,724 and 1,491,664

Step by Step Solution

1. Step 1: Write the proportion equation
   686,724 : 1,491,664 = 1,491,664 : x
2. Step 2: Convert to fraction form
   686,724/1,491,664 = 1,491,664/x
3. Step 3: Cross multiply
   686,724x = 1,491,664 × 1,491,664
4. Step 4: Simplify right side
   686,724x = 2,225,061,488,896
5. Step 5: Solve for x
   x = 2,225,061,488,896/686,724
6. Step 6: Final answer
   x = 3,240,110.28