Finding the Third Proportional to 83,413.69 and 179,948.81

Step by Step Solution

1. Step 1: Write the proportion equation
   83,413.69 : 179,948.81 = 179,948.81 : x
2. Step 2: Convert to fraction form
   83,413.69/179,948.81 = 179,948.81/x
3. Step 3: Cross multiply
   83,413.69x = 179,948.81 × 179,948.81
4. Step 4: Simplify right side
   83,413.69x = 32,381,575,120.16
5. Step 5: Solve for x
   x = 32,381,575,120.16/83,413.69
6. Step 6: Final answer
   x = 388,204.58