Finding the Third Proportional to 150.69 and 311.47

Step by Step Solution

1. Step 1: Write the proportion equation
   150.69 : 311.47 = 311.47 : x
2. Step 2: Convert to fraction form
   150.69/311.47 = 311.47/x
3. Step 3: Cross multiply
   150.69x = 311.47 × 311.47
4. Step 4: Simplify right side
   150.69x = 97,012.78
5. Step 5: Solve for x
   x = 97,012.78/150.69
6. Step 6: Final answer
   x = 643.80