Finding the Third Proportional to 211.50 and 282.56

Step by Step Solution

1. Step 1: Write the proportion equation
   211.50 : 282.56 = 282.56 : x
2. Step 2: Convert to fraction form
   211.50/282.56 = 282.56/x
3. Step 3: Cross multiply
   211.50x = 282.56 × 282.56
4. Step 4: Simplify right side
   211.50x = 79,841.57
5. Step 5: Solve for x
   x = 79,841.57/211.50
6. Step 6: Final answer
   x = 377.50