Finding the Third Proportional to 120.31 and 223.54

Step by Step Solution

1. Step 1: Write the proportion equation
   120.31 : 223.54 = 223.54 : x
2. Step 2: Convert to fraction form
   120.31/223.54 = 223.54/x
3. Step 3: Cross multiply
   120.31x = 223.54 × 223.54
4. Step 4: Simplify right side
   120.31x = 49,970.59
5. Step 5: Solve for x
   x = 49,970.59/120.31
6. Step 6: Final answer
   x = 415.34