Finding the Third Proportional to 404,705 and 584,679

Step by Step Solution

1. Step 1: Write the proportion equation
   404,705 : 584,679 = 584,679 : x
2. Step 2: Convert to fraction form
   404,705/584,679 = 584,679/x
3. Step 3: Cross multiply
   404,705x = 584,679 × 584,679
4. Step 4: Simplify right side
   404,705x = 341,849,533,041
5. Step 5: Solve for x
   x = 341,849,533,041/404,705
6. Step 6: Final answer
   x = 844,688.19