Finding the Third Proportional to 96.56 and 208.31

Step by Step Solution

1. Step 1: Write the proportion equation
   96.56 : 208.31 = 208.31 : x
2. Step 2: Convert to fraction form
   96.56/208.31 = 208.31/x
3. Step 3: Cross multiply
   96.56x = 208.31 × 208.31
4. Step 4: Simplify right side
   96.56x = 43,394.10
5. Step 5: Solve for x
   x = 43,394.10/96.56
6. Step 6: Final answer
   x = 449.39