Finding the Third Proportional to 146,733 and 233,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,733 : 233,413.50 = 233,413.50 : x
2. Step 2: Convert to fraction form
   146,733/233,413.50 = 233,413.50/x
3. Step 3: Cross multiply
   146,733x = 233,413.50 × 233,413.50
4. Step 4: Simplify right side
   146,733x = 54,481,861,982.25
5. Step 5: Solve for x
   x = 54,481,861,982.25/146,733
6. Step 6: Final answer
   x = 371,299.31