Finding the Third Proportional to 150.82 and 330.54

Step by Step Solution

1. Step 1: Write the proportion equation
   150.82 : 330.54 = 330.54 : x
2. Step 2: Convert to fraction form
   150.82/330.54 = 330.54/x
3. Step 3: Cross multiply
   150.82x = 330.54 × 330.54
4. Step 4: Simplify right side
   150.82x = 109,256.07
5. Step 5: Solve for x
   x = 109,256.07/150.82
6. Step 6: Final answer
   x = 724.41