Finding the Third Proportional to 188.25 and 280.38

Step by Step Solution

1. Step 1: Write the proportion equation
   188.25 : 280.38 = 280.38 : x
2. Step 2: Convert to fraction form
   188.25/280.38 = 280.38/x
3. Step 3: Cross multiply
   188.25x = 280.38 × 280.38
4. Step 4: Simplify right side
   188.25x = 78,610.14
5. Step 5: Solve for x
   x = 78,610.14/188.25
6. Step 6: Final answer
   x = 417.58