Finding the Third Proportional to 107.81 and 179.06

Step by Step Solution

1. Step 1: Write the proportion equation
   107.81 : 179.06 = 179.06 : x
2. Step 2: Convert to fraction form
   107.81/179.06 = 179.06/x
3. Step 3: Cross multiply
   107.81x = 179.06 × 179.06
4. Step 4: Simplify right side
   107.81x = 32,063.38
5. Step 5: Solve for x
   x = 32,063.38/107.81
6. Step 6: Final answer
   x = 297.40