Finding the Third Proportional to 101.81 and 151.31

Step by Step Solution

1. Step 1: Write the proportion equation
   101.81 : 151.31 = 151.31 : x
2. Step 2: Convert to fraction form
   101.81/151.31 = 151.31/x
3. Step 3: Cross multiply
   101.81x = 151.31 × 151.31
4. Step 4: Simplify right side
   101.81x = 22,895.47
5. Step 5: Solve for x
   x = 22,895.47/101.81
6. Step 6: Final answer
   x = 224.88