Finding the Third Proportional to 238,045 and 326,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,045 : 326,413.50 = 326,413.50 : x
2. Step 2: Convert to fraction form
   238,045/326,413.50 = 326,413.50/x
3. Step 3: Cross multiply
   238,045x = 326,413.50 × 326,413.50
4. Step 4: Simplify right side
   238,045x = 106,545,772,982.25
5. Step 5: Solve for x
   x = 106,545,772,982.25/238,045
6. Step 6: Final answer
   x = 447,586.69