Finding the Third Proportional to 95.53 and 146.16

Step by Step Solution

1. Step 1: Write the proportion equation
   95.53 : 146.16 = 146.16 : x
2. Step 2: Convert to fraction form
   95.53/146.16 = 146.16/x
3. Step 3: Cross multiply
   95.53x = 146.16 × 146.16
4. Step 4: Simplify right side
   95.53x = 21,361.65
5. Step 5: Solve for x
   x = 21,361.65/95.53
6. Step 6: Final answer
   x = 223.61