Finding the Third Proportional to 515,736 and 774,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   515,736 : 774,578.25 = 774,578.25 : x
2. Step 2: Convert to fraction form
   515,736/774,578.25 = 774,578.25/x
3. Step 3: Cross multiply
   515,736x = 774,578.25 × 774,578.25
4. Step 4: Simplify right side
   515,736x = 599,971,465,373.06
5. Step 5: Solve for x
   x = 599,971,465,373.06/515,736
6. Step 6: Final answer
   x = 1,163,330.59