Finding the Third Proportional to 404,723.25 and 584,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   404,723.25 : 584,705.25 = 584,705.25 : x
2. Step 2: Convert to fraction form
   404,723.25/584,705.25 = 584,705.25/x
3. Step 3: Cross multiply
   404,723.25x = 584,705.25 × 584,705.25
4. Step 4: Simplify right side
   404,723.25x = 341,880,229,377.56
5. Step 5: Solve for x
   x = 341,880,229,377.56/404,723.25
6. Step 6: Final answer
   x = 844,725.94