Finding the Third Proportional to 677,721 and 1,460,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   677,721 : 1,460,413.50 = 1,460,413.50 : x
2. Step 2: Convert to fraction form
   677,721/1,460,413.50 = 1,460,413.50/x
3. Step 3: Cross multiply
   677,721x = 1,460,413.50 × 1,460,413.50
4. Step 4: Simplify right side
   677,721x = 2,132,807,590,982.25
5. Step 5: Solve for x
   x = 2,132,807,590,982.25/677,721
6. Step 6: Final answer
   x = 3,147,028.93