Finding the Third Proportional to 188.06 and 282.56

Step by Step Solution

1. Step 1: Write the proportion equation
   188.06 : 282.56 = 282.56 : x
2. Step 2: Convert to fraction form
   188.06/282.56 = 282.56/x
3. Step 3: Cross multiply
   188.06x = 282.56 × 282.56
4. Step 4: Simplify right side
   188.06x = 79,841.57
5. Step 5: Solve for x
   x = 79,841.57/188.06
6. Step 6: Final answer
   x = 424.55