Finding the Third Proportional to 403,886 and 821,016

Step by Step Solution

1. Step 1: Write the proportion equation
   403,886 : 821,016 = 821,016 : x
2. Step 2: Convert to fraction form
   403,886/821,016 = 821,016/x
3. Step 3: Cross multiply
   403,886x = 821,016 × 821,016
4. Step 4: Simplify right side
   403,886x = 674,067,272,256
5. Step 5: Solve for x
   x = 674,067,272,256/403,886
6. Step 6: Final answer
   x = 1,668,954.29