Finding the Third Proportional to 82,302.75 and 123,413.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,302.75 : 123,413.25 = 123,413.25 : x
2. Step 2: Convert to fraction form
   82,302.75/123,413.25 = 123,413.25/x
3. Step 3: Cross multiply
   82,302.75x = 123,413.25 × 123,413.25
4. Step 4: Simplify right side
   82,302.75x = 15,230,830,275.56
5. Step 5: Solve for x
   x = 15,230,830,275.56/82,302.75
6. Step 6: Final answer
   x = 185,058.58