Finding the Third Proportional to 500,658 and 774,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,658 : 774,745.50 = 774,745.50 : x
2. Step 2: Convert to fraction form
   500,658/774,745.50 = 774,745.50/x
3. Step 3: Cross multiply
   500,658x = 774,745.50 × 774,745.50
4. Step 4: Simplify right side
   500,658x = 600,230,589,770.25
5. Step 5: Solve for x
   x = 600,230,589,770.25/500,658
6. Step 6: Final answer
   x = 1,198,883.45