Finding the Third Proportional to 101.50 and 223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101.50 : 223.25 = 223.25 : x
2. Step 2: Convert to fraction form
   101.50/223.25 = 223.25/x
3. Step 3: Cross multiply
   101.50x = 223.25 × 223.25
4. Step 4: Simplify right side
   101.50x = 49,840.56
5. Step 5: Solve for x
   x = 49,840.56/101.50
6. Step 6: Final answer
   x = 491.04