Finding the Third Proportional to 102.28 and 151.99

Step by Step Solution

1. Step 1: Write the proportion equation
   102.28 : 151.99 = 151.99 : x
2. Step 2: Convert to fraction form
   102.28/151.99 = 151.99/x
3. Step 3: Cross multiply
   102.28x = 151.99 × 151.99
4. Step 4: Simplify right side
   102.28x = 23,102.07
5. Step 5: Solve for x
   x = 23,102.07/102.28
6. Step 6: Final answer
   x = 225.87