Finding the Third Proportional to 404,769 and 584,769

Step by Step Solution

1. Step 1: Write the proportion equation
   404,769 : 584,769 = 584,769 : x
2. Step 2: Convert to fraction form
   404,769/584,769 = 584,769/x
3. Step 3: Cross multiply
   404,769x = 584,769 × 584,769
4. Step 4: Simplify right side
   404,769x = 341,954,783,361
5. Step 5: Solve for x
   x = 341,954,783,361/404,769
6. Step 6: Final answer
   x = 844,814.66