Finding the Third Proportional to 825,886 and 1,828,647

Step by Step Solution

1. Step 1: Write the proportion equation
   825,886 : 1,828,647 = 1,828,647 : x
2. Step 2: Convert to fraction form
   825,886/1,828,647 = 1,828,647/x
3. Step 3: Cross multiply
   825,886x = 1,828,647 × 1,828,647
4. Step 4: Simplify right side
   825,886x = 3,343,949,850,609
5. Step 5: Solve for x
   x = 3,343,949,850,609/825,886
6. Step 6: Final answer
   x = 4,048,924.25