Finding the Third Proportional to 67.78 and 109.09

Step by Step Solution

1. Step 1: Write the proportion equation
   67.78 : 109.09 = 109.09 : x
2. Step 2: Convert to fraction form
   67.78/109.09 = 109.09/x
3. Step 3: Cross multiply
   67.78x = 109.09 × 109.09
4. Step 4: Simplify right side
   67.78x = 11,900.59
5. Step 5: Solve for x
   x = 11,900.59/67.78
6. Step 6: Final answer
   x = 175.57