Finding the Third Proportional to 155.50 and 270.25

Step by Step Solution

1. Step 1: Write the proportion equation
   155.50 : 270.25 = 270.25 : x
2. Step 2: Convert to fraction form
   155.50/270.25 = 270.25/x
3. Step 3: Cross multiply
   155.50x = 270.25 × 270.25
4. Step 4: Simplify right side
   155.50x = 73,035.06
5. Step 5: Solve for x
   x = 73,035.06/155.50
6. Step 6: Final answer
   x = 469.68