Finding the Third Proportional to 825,891 and 1,828,659

Step by Step Solution

1. Step 1: Write the proportion equation
   825,891 : 1,828,659 = 1,828,659 : x
2. Step 2: Convert to fraction form
   825,891/1,828,659 = 1,828,659/x
3. Step 3: Cross multiply
   825,891x = 1,828,659 × 1,828,659
4. Step 4: Simplify right side
   825,891x = 3,343,993,738,281
5. Step 5: Solve for x
   x = 3,343,993,738,281/825,891
6. Step 6: Final answer
   x = 4,048,952.87