Finding the Third Proportional to 83.06 and 168.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 168.56 = 168.56 : x
2. Step 2: Convert to fraction form
   83.06/168.56 = 168.56/x
3. Step 3: Cross multiply
   83.06x = 168.56 × 168.56
4. Step 4: Simplify right side
   83.06x = 28,413.32
5. Step 5: Solve for x
   x = 28,413.32/83.06
6. Step 6: Final answer
   x = 342.07