Finding the Third Proportional to 150.94 and 271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150.94 : 271.50 = 271.50 : x
2. Step 2: Convert to fraction form
   150.94/271.50 = 271.50/x
3. Step 3: Cross multiply
   150.94x = 271.50 × 271.50
4. Step 4: Simplify right side
   150.94x = 73,712.25
5. Step 5: Solve for x
   x = 73,712.25/150.94
6. Step 6: Final answer
   x = 488.36