Finding the Third Proportional to 195.61 and 280.27

Step by Step Solution

1. Step 1: Write the proportion equation
   195.61 : 280.27 = 280.27 : x
2. Step 2: Convert to fraction form
   195.61/280.27 = 280.27/x
3. Step 3: Cross multiply
   195.61x = 280.27 × 280.27
4. Step 4: Simplify right side
   195.61x = 78,548.82
5. Step 5: Solve for x
   x = 78,548.82/195.61
6. Step 6: Final answer
   x = 401.56