Finding the Third Proportional to 141.96 and 205.52

Step by Step Solution

1. Step 1: Write the proportion equation
   141.96 : 205.52 = 205.52 : x
2. Step 2: Convert to fraction form
   141.96/205.52 = 205.52/x
3. Step 3: Cross multiply
   141.96x = 205.52 × 205.52
4. Step 4: Simplify right side
   141.96x = 42,239.88
5. Step 5: Solve for x
   x = 42,239.88/141.96
6. Step 6: Final answer
   x = 297.55