Finding the Third Proportional to 404,882 and 576,764

Step by Step Solution

1. Step 1: Write the proportion equation
   404,882 : 576,764 = 576,764 : x
2. Step 2: Convert to fraction form
   404,882/576,764 = 576,764/x
3. Step 3: Cross multiply
   404,882x = 576,764 × 576,764
4. Step 4: Simplify right side
   404,882x = 332,656,711,696
5. Step 5: Solve for x
   x = 332,656,711,696/404,882
6. Step 6: Final answer
   x = 821,613.98