Finding the Third Proportional to 177 and 333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177 : 333.50 = 333.50 : x
2. Step 2: Convert to fraction form
   177/333.50 = 333.50/x
3. Step 3: Cross multiply
   177x = 333.50 × 333.50
4. Step 4: Simplify right side
   177x = 111,222.25
5. Step 5: Solve for x
   x = 111,222.25/177
6. Step 6: Final answer
   x = 628.37