Finding the Third Proportional to 142.50 and 205.13

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 205.13 = 205.13 : x
2. Step 2: Convert to fraction form
   142.50/205.13 = 205.13/x
3. Step 3: Cross multiply
   142.50x = 205.13 × 205.13
4. Step 4: Simplify right side
   142.50x = 42,076.27
5. Step 5: Solve for x
   x = 42,076.27/142.50
6. Step 6: Final answer
   x = 295.27