Finding the Third Proportional to 105.05 and 230.34

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 230.34 = 230.34 : x
2. Step 2: Convert to fraction form
   105.05/230.34 = 230.34/x
3. Step 3: Cross multiply
   105.05x = 230.34 × 230.34
4. Step 4: Simplify right side
   105.05x = 53,058.24
5. Step 5: Solve for x
   x = 53,058.24/105.05
6. Step 6: Final answer
   x = 505.09