Finding the Third Proportional to 404,872 and 576,748

Step by Step Solution

1. Step 1: Write the proportion equation
   404,872 : 576,748 = 576,748 : x
2. Step 2: Convert to fraction form
   404,872/576,748 = 576,748/x
3. Step 3: Cross multiply
   404,872x = 576,748 × 576,748
4. Step 4: Simplify right side
   404,872x = 332,638,255,504
5. Step 5: Solve for x
   x = 332,638,255,504/404,872
6. Step 6: Final answer
   x = 821,588.69