Finding the Third Proportional to 77,413.50 and 158,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,413.50 : 158,105.25 = 158,105.25 : x
2. Step 2: Convert to fraction form
   77,413.50/158,105.25 = 158,105.25/x
3. Step 3: Cross multiply
   77,413.50x = 158,105.25 × 158,105.25
4. Step 4: Simplify right side
   77,413.50x = 24,997,270,077.56
5. Step 5: Solve for x
   x = 24,997,270,077.56/77,413.50
6. Step 6: Final answer
   x = 322,905.82