Finding the Third Proportional to 404,766 and 584,766

Step by Step Solution

1. Step 1: Write the proportion equation
   404,766 : 584,766 = 584,766 : x
2. Step 2: Convert to fraction form
   404,766/584,766 = 584,766/x
3. Step 3: Cross multiply
   404,766x = 584,766 × 584,766
4. Step 4: Simplify right side
   404,766x = 341,951,274,756
5. Step 5: Solve for x
   x = 341,951,274,756/404,766
6. Step 6: Final answer
   x = 844,812.25