Finding the Third Proportional to 208 and 308.25

Step by Step Solution

1. Step 1: Write the proportion equation
   208 : 308.25 = 308.25 : x
2. Step 2: Convert to fraction form
   208/308.25 = 308.25/x
3. Step 3: Cross multiply
   208x = 308.25 × 308.25
4. Step 4: Simplify right side
   208x = 95,018.06
5. Step 5: Solve for x
   x = 95,018.06/208
6. Step 6: Final answer
   x = 456.82