Finding the Third Proportional to 151.78 and 282.56

Step by Step Solution

1. Step 1: Write the proportion equation
   151.78 : 282.56 = 282.56 : x
2. Step 2: Convert to fraction form
   151.78/282.56 = 282.56/x
3. Step 3: Cross multiply
   151.78x = 282.56 × 282.56
4. Step 4: Simplify right side
   151.78x = 79,841.57
5. Step 5: Solve for x
   x = 79,841.57/151.78
6. Step 6: Final answer
   x = 526.03