Finding the Third Proportional to 109.31 and 168.56

Step by Step Solution

1. Step 1: Write the proportion equation
   109.31 : 168.56 = 168.56 : x
2. Step 2: Convert to fraction form
   109.31/168.56 = 168.56/x
3. Step 3: Cross multiply
   109.31x = 168.56 × 168.56
4. Step 4: Simplify right side
   109.31x = 28,413.32
5. Step 5: Solve for x
   x = 28,413.32/109.31
6. Step 6: Final answer
   x = 259.93