Finding the Third Proportional to 101.13 and 213.30

Step by Step Solution

1. Step 1: Write the proportion equation
   101.13 : 213.30 = 213.30 : x
2. Step 2: Convert to fraction form
   101.13/213.30 = 213.30/x
3. Step 3: Cross multiply
   101.13x = 213.30 × 213.30
4. Step 4: Simplify right side
   101.13x = 45,498.89
5. Step 5: Solve for x
   x = 45,498.89/101.13
6. Step 6: Final answer
   x = 449.89