Finding the Third Proportional to 102.25 and 151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102.25 : 151.25 = 151.25 : x
2. Step 2: Convert to fraction form
   102.25/151.25 = 151.25/x
3. Step 3: Cross multiply
   102.25x = 151.25 × 151.25
4. Step 4: Simplify right side
   102.25x = 22,876.56
5. Step 5: Solve for x
   x = 22,876.56/102.25
6. Step 6: Final answer
   x = 223.73