Finding the Third Proportional to 223.52 and 345.41

Step by Step Solution

1. Step 1: Write the proportion equation
   223.52 : 345.41 = 345.41 : x
2. Step 2: Convert to fraction form
   223.52/345.41 = 345.41/x
3. Step 3: Cross multiply
   223.52x = 345.41 × 345.41
4. Step 4: Simplify right side
   223.52x = 119,308.18
5. Step 5: Solve for x
   x = 119,308.18/223.52
6. Step 6: Final answer
   x = 533.76