Finding the Third Proportional to 150.50 and 297.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150.50 : 297.25 = 297.25 : x
2. Step 2: Convert to fraction form
   150.50/297.25 = 297.25/x
3. Step 3: Cross multiply
   150.50x = 297.25 × 297.25
4. Step 4: Simplify right side
   150.50x = 88,357.56
5. Step 5: Solve for x
   x = 88,357.56/150.50
6. Step 6: Final answer
   x = 587.09