Finding the Third Proportional to 404,821 and 594,096

Step by Step Solution

1. Step 1: Write the proportion equation
   404,821 : 594,096 = 594,096 : x
2. Step 2: Convert to fraction form
   404,821/594,096 = 594,096/x
3. Step 3: Cross multiply
   404,821x = 594,096 × 594,096
4. Step 4: Simplify right side
   404,821x = 352,950,057,216
5. Step 5: Solve for x
   x = 352,950,057,216/404,821
6. Step 6: Final answer
   x = 871,866.97