Finding the Third Proportional to 101.53 and 152.81

Step by Step Solution

1. Step 1: Write the proportion equation
   101.53 : 152.81 = 152.81 : x
2. Step 2: Convert to fraction form
   101.53/152.81 = 152.81/x
3. Step 3: Cross multiply
   101.53x = 152.81 × 152.81
4. Step 4: Simplify right side
   101.53x = 23,351.66
5. Step 5: Solve for x
   x = 23,351.66/101.53
6. Step 6: Final answer
   x = 229.99