Finding the Third Proportional to 413,760 and 632,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,760 : 632,674.50 = 632,674.50 : x
2. Step 2: Convert to fraction form
   413,760/632,674.50 = 632,674.50/x
3. Step 3: Cross multiply
   413,760x = 632,674.50 × 632,674.50
4. Step 4: Simplify right side
   413,760x = 400,277,022,950.25
5. Step 5: Solve for x
   x = 400,277,022,950.25/413,760
6. Step 6: Final answer
   x = 967,413.53