Finding the Third Proportional to 107.58 and 223.45

Step by Step Solution

1. Step 1: Write the proportion equation
   107.58 : 223.45 = 223.45 : x
2. Step 2: Convert to fraction form
   107.58/223.45 = 223.45/x
3. Step 3: Cross multiply
   107.58x = 223.45 × 223.45
4. Step 4: Simplify right side
   107.58x = 49,931.30
5. Step 5: Solve for x
   x = 49,931.30/107.58
6. Step 6: Final answer
   x = 464.14