Finding the Third Proportional to 150.89 and 326.81

Step by Step Solution

1. Step 1: Write the proportion equation
   150.89 : 326.81 = 326.81 : x
2. Step 2: Convert to fraction form
   150.89/326.81 = 326.81/x
3. Step 3: Cross multiply
   150.89x = 326.81 × 326.81
4. Step 4: Simplify right side
   150.89x = 106,806.41
5. Step 5: Solve for x
   x = 106,806.41/150.89
6. Step 6: Final answer
   x = 707.84