Finding the Third Proportional to 825,568 and 1,686,132

Step by Step Solution

1. Step 1: Write the proportion equation
   825,568 : 1,686,132 = 1,686,132 : x
2. Step 2: Convert to fraction form
   825,568/1,686,132 = 1,686,132/x
3. Step 3: Cross multiply
   825,568x = 1,686,132 × 1,686,132
4. Step 4: Simplify right side
   825,568x = 2,843,041,121,424
5. Step 5: Solve for x
   x = 2,843,041,121,424/825,568
6. Step 6: Final answer
   x = 3,443,739.49