Finding the Third Proportional to 109.88 and 165.56

Step by Step Solution

1. Step 1: Write the proportion equation
   109.88 : 165.56 = 165.56 : x
2. Step 2: Convert to fraction form
   109.88/165.56 = 165.56/x
3. Step 3: Cross multiply
   109.88x = 165.56 × 165.56
4. Step 4: Simplify right side
   109.88x = 27,410.94
5. Step 5: Solve for x
   x = 27,410.94/109.88
6. Step 6: Final answer
   x = 249.47