Finding the Third Proportional to 105.19 and 140.53

Step by Step Solution

1. Step 1: Write the proportion equation
   105.19 : 140.53 = 140.53 : x
2. Step 2: Convert to fraction form
   105.19/140.53 = 140.53/x
3. Step 3: Cross multiply
   105.19x = 140.53 × 140.53
4. Step 4: Simplify right side
   105.19x = 19,749.03
5. Step 5: Solve for x
   x = 19,749.03/105.19
6. Step 6: Final answer
   x = 187.75