Finding the Third Proportional to 82,705.50 and 179,413.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,705.50 : 179,413.75 = 179,413.75 : x
2. Step 2: Convert to fraction form
   82,705.50/179,413.75 = 179,413.75/x
3. Step 3: Cross multiply
   82,705.50x = 179,413.75 × 179,413.75
4. Step 4: Simplify right side
   82,705.50x = 32,189,293,689.06
5. Step 5: Solve for x
   x = 32,189,293,689.06/82,705.50
6. Step 6: Final answer
   x = 389,203.79