Finding the Third Proportional to 123.19 and 165.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123.19 : 165.56 = 165.56 : x
2. Step 2: Convert to fraction form
   123.19/165.56 = 165.56/x
3. Step 3: Cross multiply
   123.19x = 165.56 × 165.56
4. Step 4: Simplify right side
   123.19x = 27,410.94
5. Step 5: Solve for x
   x = 27,410.94/123.19
6. Step 6: Final answer
   x = 222.51