Finding the Third Proportional to 404,766 and 584,763

Step by Step Solution

1. Step 1: Write the proportion equation
   404,766 : 584,763 = 584,763 : x
2. Step 2: Convert to fraction form
   404,766/584,763 = 584,763/x
3. Step 3: Cross multiply
   404,766x = 584,763 × 584,763
4. Step 4: Simplify right side
   404,766x = 341,947,766,169
5. Step 5: Solve for x
   x = 341,947,766,169/404,766
6. Step 6: Final answer
   x = 844,803.58