Finding the Third Proportional to 682,506 and 1,469,664

Step by Step Solution

1. Step 1: Write the proportion equation
   682,506 : 1,469,664 = 1,469,664 : x
2. Step 2: Convert to fraction form
   682,506/1,469,664 = 1,469,664/x
3. Step 3: Cross multiply
   682,506x = 1,469,664 × 1,469,664
4. Step 4: Simplify right side
   682,506x = 2,159,912,272,896
5. Step 5: Solve for x
   x = 2,159,912,272,896/682,506
6. Step 6: Final answer
   x = 3,164,678.81