Finding the Third Proportional to 152 and 333.88

Step by Step Solution

1. Step 1: Write the proportion equation
   152 : 333.88 = 333.88 : x
2. Step 2: Convert to fraction form
   152/333.88 = 333.88/x
3. Step 3: Cross multiply
   152x = 333.88 × 333.88
4. Step 4: Simplify right side
   152x = 111,472.52
5. Step 5: Solve for x
   x = 111,472.52/152
6. Step 6: Final answer
   x = 733.37