Finding the Third Proportional to 105.19 and 136.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.19 : 136.69 = 136.69 : x
2. Step 2: Convert to fraction form
   105.19/136.69 = 136.69/x
3. Step 3: Cross multiply
   105.19x = 136.69 × 136.69
4. Step 4: Simplify right side
   105.19x = 18,683.47
5. Step 5: Solve for x
   x = 18,683.47/105.19
6. Step 6: Final answer
   x = 177.62