Finding the Third Proportional to 223.07 and 356.27

Step by Step Solution

1. Step 1: Write the proportion equation
   223.07 : 356.27 = 356.27 : x
2. Step 2: Convert to fraction form
   223.07/356.27 = 356.27/x
3. Step 3: Cross multiply
   223.07x = 356.27 × 356.27
4. Step 4: Simplify right side
   223.07x = 126,930.76
5. Step 5: Solve for x
   x = 126,930.76/223.07
6. Step 6: Final answer
   x = 569.03