Finding the Third Proportional to 80,413.50 and 171,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,413.50 : 171,514.50 = 171,514.50 : x
2. Step 2: Convert to fraction form
   80,413.50/171,514.50 = 171,514.50/x
3. Step 3: Cross multiply
   80,413.50x = 171,514.50 × 171,514.50
4. Step 4: Simplify right side
   80,413.50x = 29,417,223,710.25
5. Step 5: Solve for x
   x = 29,417,223,710.25/80,413.50
6. Step 6: Final answer
   x = 365,824.44