Finding the Third Proportional to 164.25 and 355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.25 : 355.50 = 355.50 : x
2. Step 2: Convert to fraction form
   164.25/355.50 = 355.50/x
3. Step 3: Cross multiply
   164.25x = 355.50 × 355.50
4. Step 4: Simplify right side
   164.25x = 126,380.25
5. Step 5: Solve for x
   x = 126,380.25/164.25
6. Step 6: Final answer
   x = 769.44