Finding the Third Proportional to 143.72 and 205.92

Step by Step Solution

1. Step 1: Write the proportion equation
   143.72 : 205.92 = 205.92 : x
2. Step 2: Convert to fraction form
   143.72/205.92 = 205.92/x
3. Step 3: Cross multiply
   143.72x = 205.92 × 205.92
4. Step 4: Simplify right side
   143.72x = 42,403.82
5. Step 5: Solve for x
   x = 42,403.82/143.72
6. Step 6: Final answer
   x = 295.05