Finding the Third Proportional to 100 and 223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100 : 223.50 = 223.50 : x
2. Step 2: Convert to fraction form
   100/223.50 = 223.50/x
3. Step 3: Cross multiply
   100x = 223.50 × 223.50
4. Step 4: Simplify right side
   100x = 49,952.25
5. Step 5: Solve for x
   x = 49,952.25/100
6. Step 6: Final answer
   x = 499.52