Finding the Third Proportional to 404,715.75 and 584,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,715.75 : 584,698.50 = 584,698.50 : x
2. Step 2: Convert to fraction form
   404,715.75/584,698.50 = 584,698.50/x
3. Step 3: Cross multiply
   404,715.75x = 584,698.50 × 584,698.50
4. Step 4: Simplify right side
   404,715.75x = 341,872,335,902.25
5. Step 5: Solve for x
   x = 341,872,335,902.25/404,715.75
6. Step 6: Final answer
   x = 844,722.09