Finding the Third Proportional to 69.65 and 150.69

Step by Step Solution

1. Step 1: Write the proportion equation
   69.65 : 150.69 = 150.69 : x
2. Step 2: Convert to fraction form
   69.65/150.69 = 150.69/x
3. Step 3: Cross multiply
   69.65x = 150.69 × 150.69
4. Step 4: Simplify right side
   69.65x = 22,707.02
5. Step 5: Solve for x
   x = 22,707.02/69.65
6. Step 6: Final answer
   x = 326.02