Finding the Third Proportional to 511,535 and 774,404

Step by Step Solution

1. Step 1: Write the proportion equation
   511,535 : 774,404 = 774,404 : x
2. Step 2: Convert to fraction form
   511,535/774,404 = 774,404/x
3. Step 3: Cross multiply
   511,535x = 774,404 × 774,404
4. Step 4: Simplify right side
   511,535x = 599,701,555,216
5. Step 5: Solve for x
   x = 599,701,555,216/511,535
6. Step 6: Final answer
   x = 1,172,356.84