Finding the Third Proportional to 151.50 and 353.25

Step by Step Solution

1. Step 1: Write the proportion equation
   151.50 : 353.25 = 353.25 : x
2. Step 2: Convert to fraction form
   151.50/353.25 = 353.25/x
3. Step 3: Cross multiply
   151.50x = 353.25 × 353.25
4. Step 4: Simplify right side
   151.50x = 124,785.56
5. Step 5: Solve for x
   x = 124,785.56/151.50
6. Step 6: Final answer
   x = 823.67