Finding the Third Proportional to 101.91 and 150.33

Step by Step Solution

1. Step 1: Write the proportion equation
   101.91 : 150.33 = 150.33 : x
2. Step 2: Convert to fraction form
   101.91/150.33 = 150.33/x
3. Step 3: Cross multiply
   101.91x = 150.33 × 150.33
4. Step 4: Simplify right side
   101.91x = 22,598.55
5. Step 5: Solve for x
   x = 22,598.55/101.91
6. Step 6: Final answer
   x = 221.76