Finding the Third Proportional to 500,652 and 774,736.31

Step by Step Solution

1. Step 1: Write the proportion equation
   500,652 : 774,736.31 = 774,736.31 : x
2. Step 2: Convert to fraction form
   500,652/774,736.31 = 774,736.31/x
3. Step 3: Cross multiply
   500,652x = 774,736.31 × 774,736.31
4. Step 4: Simplify right side
   500,652x = 600,216,353,906.10
5. Step 5: Solve for x
   x = 600,216,353,906.10/500,652
6. Step 6: Final answer
   x = 1,198,869.38