Finding the Third Proportional to 96.16 and 208.27

Step by Step Solution

1. Step 1: Write the proportion equation
   96.16 : 208.27 = 208.27 : x
2. Step 2: Convert to fraction form
   96.16/208.27 = 208.27/x
3. Step 3: Cross multiply
   96.16x = 208.27 × 208.27
4. Step 4: Simplify right side
   96.16x = 43,374.57
5. Step 5: Solve for x
   x = 43,374.57/96.16
6. Step 6: Final answer
   x = 451.05