Finding the Third Proportional to 96.75 and 208.56

Step by Step Solution

1. Step 1: Write the proportion equation
   96.75 : 208.56 = 208.56 : x
2. Step 2: Convert to fraction form
   96.75/208.56 = 208.56/x
3. Step 3: Cross multiply
   96.75x = 208.56 × 208.56
4. Step 4: Simplify right side
   96.75x = 43,498.32
5. Step 5: Solve for x
   x = 43,498.32/96.75
6. Step 6: Final answer
   x = 449.60