Finding the Third Proportional to 326,746.50 and 683,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,746.50 : 683,413.50 = 683,413.50 : x
2. Step 2: Convert to fraction form
   326,746.50/683,413.50 = 683,413.50/x
3. Step 3: Cross multiply
   326,746.50x = 683,413.50 × 683,413.50
4. Step 4: Simplify right side
   326,746.50x = 467,054,011,982.25
5. Step 5: Solve for x
   x = 467,054,011,982.25/326,746.50
6. Step 6: Final answer
   x = 1,429,407.85