Finding the Third Proportional to 83,223.56 and 117,759.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,223.56 : 117,759.38 = 117,759.38 : x
2. Step 2: Convert to fraction form
   83,223.56/117,759.38 = 117,759.38/x
3. Step 3: Cross multiply
   83,223.56x = 117,759.38 × 117,759.38
4. Step 4: Simplify right side
   83,223.56x = 13,867,270,400.39
5. Step 5: Solve for x
   x = 13,867,270,400.39/83,223.56
6. Step 6: Final answer
   x = 166,626.73