Finding the Third Proportional to 105.19 and 146.57

Step by Step Solution

1. Step 1: Write the proportion equation
   105.19 : 146.57 = 146.57 : x
2. Step 2: Convert to fraction form
   105.19/146.57 = 146.57/x
3. Step 3: Cross multiply
   105.19x = 146.57 × 146.57
4. Step 4: Simplify right side
   105.19x = 21,481.39
5. Step 5: Solve for x
   x = 21,481.39/105.19
6. Step 6: Final answer
   x = 204.22