Finding the Third Proportional to 111.19 and 146.16

Step by Step Solution

1. Step 1: Write the proportion equation
   111.19 : 146.16 = 146.16 : x
2. Step 2: Convert to fraction form
   111.19/146.16 = 146.16/x
3. Step 3: Cross multiply
   111.19x = 146.16 × 146.16
4. Step 4: Simplify right side
   111.19x = 21,361.65
5. Step 5: Solve for x
   x = 21,361.65/111.19
6. Step 6: Final answer
   x = 192.12