Finding the Third Proportional to 404,771 and 584,772

Step by Step Solution

1. Step 1: Write the proportion equation
   404,771 : 584,772 = 584,772 : x
2. Step 2: Convert to fraction form
   404,771/584,772 = 584,772/x
3. Step 3: Cross multiply
   404,771x = 584,772 × 584,772
4. Step 4: Simplify right side
   404,771x = 341,958,291,984
5. Step 5: Solve for x
   x = 341,958,291,984/404,771
6. Step 6: Final answer
   x = 844,819.15