Finding the Third Proportional to 123.05 and 189.91

Step by Step Solution

1. Step 1: Write the proportion equation
   123.05 : 189.91 = 189.91 : x
2. Step 2: Convert to fraction form
   123.05/189.91 = 189.91/x
3. Step 3: Cross multiply
   123.05x = 189.91 × 189.91
4. Step 4: Simplify right side
   123.05x = 36,067.35
5. Step 5: Solve for x
   x = 36,067.35/123.05
6. Step 6: Final answer
   x = 293.12