Finding the Third Proportional to 105.09 and 140.34

Step by Step Solution

1. Step 1: Write the proportion equation
   105.09 : 140.34 = 140.34 : x
2. Step 2: Convert to fraction form
   105.09/140.34 = 140.34/x
3. Step 3: Cross multiply
   105.09x = 140.34 × 140.34
4. Step 4: Simplify right side
   105.09x = 19,696.37
5. Step 5: Solve for x
   x = 19,696.37/105.09
6. Step 6: Final answer
   x = 187.42