Finding the Third Proportional to 164.50 and 270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.50 : 270.50 = 270.50 : x
2. Step 2: Convert to fraction form
   164.50/270.50 = 270.50/x
3. Step 3: Cross multiply
   164.50x = 270.50 × 270.50
4. Step 4: Simplify right side
   164.50x = 73,170.25
5. Step 5: Solve for x
   x = 73,170.25/164.50
6. Step 6: Final answer
   x = 444.80