Finding the Third Proportional to 180 and 333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180 : 333.50 = 333.50 : x
2. Step 2: Convert to fraction form
   180/333.50 = 333.50/x
3. Step 3: Cross multiply
   180x = 333.50 × 333.50
4. Step 4: Simplify right side
   180x = 111,222.25
5. Step 5: Solve for x
   x = 111,222.25/180
6. Step 6: Final answer
   x = 617.90