Finding the Third Proportional to 143.81 and 186.52

Step by Step Solution

1. Step 1: Write the proportion equation
   143.81 : 186.52 = 186.52 : x
2. Step 2: Convert to fraction form
   143.81/186.52 = 186.52/x
3. Step 3: Cross multiply
   143.81x = 186.52 × 186.52
4. Step 4: Simplify right side
   143.81x = 34,790.26
5. Step 5: Solve for x
   x = 34,790.26/143.81
6. Step 6: Final answer
   x = 241.92