Finding the Third Proportional to 71,077.50 and 157,413.38

Step by Step Solution

1. Step 1: Write the proportion equation
   71,077.50 : 157,413.38 = 157,413.38 : x
2. Step 2: Convert to fraction form
   71,077.50/157,413.38 = 157,413.38/x
3. Step 3: Cross multiply
   71,077.50x = 157,413.38 × 157,413.38
4. Step 4: Simplify right side
   71,077.50x = 24,778,970,628.89
5. Step 5: Solve for x
   x = 24,778,970,628.89/71,077.50
6. Step 6: Final answer
   x = 348,619.05