Finding the Third Proportional to 404,718 and 584,701

Step by Step Solution

1. Step 1: Write the proportion equation
   404,718 : 584,701 = 584,701 : x
2. Step 2: Convert to fraction form
   404,718/584,701 = 584,701/x
3. Step 3: Cross multiply
   404,718x = 584,701 × 584,701
4. Step 4: Simplify right side
   404,718x = 341,875,259,401
5. Step 5: Solve for x
   x = 341,875,259,401/404,718
6. Step 6: Final answer
   x = 844,724.62