Finding the Third Proportional to 146.81 and 232.59

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 232.59 = 232.59 : x
2. Step 2: Convert to fraction form
   146.81/232.59 = 232.59/x
3. Step 3: Cross multiply
   146.81x = 232.59 × 232.59
4. Step 4: Simplify right side
   146.81x = 54,099.85
5. Step 5: Solve for x
   x = 54,099.85/146.81
6. Step 6: Final answer
   x = 368.50