Finding the Third Proportional to 511,128 and 773,856

Step by Step Solution

1. Step 1: Write the proportion equation
   511,128 : 773,856 = 773,856 : x
2. Step 2: Convert to fraction form
   511,128/773,856 = 773,856/x
3. Step 3: Cross multiply
   511,128x = 773,856 × 773,856
4. Step 4: Simplify right side
   511,128x = 598,853,108,736
5. Step 5: Solve for x
   x = 598,853,108,736/511,128
6. Step 6: Final answer
   x = 1,171,630.41