Finding the Third Proportional to 150.50 and 291.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150.50 : 291.25 = 291.25 : x
2. Step 2: Convert to fraction form
   150.50/291.25 = 291.25/x
3. Step 3: Cross multiply
   150.50x = 291.25 × 291.25
4. Step 4: Simplify right side
   150.50x = 84,826.56
5. Step 5: Solve for x
   x = 84,826.56/150.50
6. Step 6: Final answer
   x = 563.63