Finding the Third Proportional to 500,647 and 774,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,647 : 774,736.50 = 774,736.50 : x
2. Step 2: Convert to fraction form
   500,647/774,736.50 = 774,736.50/x
3. Step 3: Cross multiply
   500,647x = 774,736.50 × 774,736.50
4. Step 4: Simplify right side
   500,647x = 600,216,644,432.25
5. Step 5: Solve for x
   x = 600,216,644,432.25/500,647
6. Step 6: Final answer
   x = 1,198,881.94