Finding the Third Proportional to 102.25 and 154.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102.25 : 154.25 = 154.25 : x
2. Step 2: Convert to fraction form
   102.25/154.25 = 154.25/x
3. Step 3: Cross multiply
   102.25x = 154.25 × 154.25
4. Step 4: Simplify right side
   102.25x = 23,793.06
5. Step 5: Solve for x
   x = 23,793.06/102.25
6. Step 6: Final answer
   x = 232.69