Finding the Third Proportional to 78,793.50 and 182,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,793.50 : 182,221.50 = 182,221.50 : x
2. Step 2: Convert to fraction form
   78,793.50/182,221.50 = 182,221.50/x
3. Step 3: Cross multiply
   78,793.50x = 182,221.50 × 182,221.50
4. Step 4: Simplify right side
   78,793.50x = 33,204,675,062.25
5. Step 5: Solve for x
   x = 33,204,675,062.25/78,793.50
6. Step 6: Final answer
   x = 421,413.89