Finding the Third Proportional to 404,778 and 584,780

Step by Step Solution

1. Step 1: Write the proportion equation
   404,778 : 584,780 = 584,780 : x
2. Step 2: Convert to fraction form
   404,778/584,780 = 584,780/x
3. Step 3: Cross multiply
   404,778x = 584,780 × 584,780
4. Step 4: Simplify right side
   404,778x = 341,967,648,400
5. Step 5: Solve for x
   x = 341,967,648,400/404,778
6. Step 6: Final answer
   x = 844,827.65