Finding the Third Proportional to 223.59 and 316.41

Step by Step Solution

1. Step 1: Write the proportion equation
   223.59 : 316.41 = 316.41 : x
2. Step 2: Convert to fraction form
   223.59/316.41 = 316.41/x
3. Step 3: Cross multiply
   223.59x = 316.41 × 316.41
4. Step 4: Simplify right side
   223.59x = 100,112.92
5. Step 5: Solve for x
   x = 100,112.92/223.59
6. Step 6: Final answer
   x = 447.74