Finding the Third Proportional to 150.47 and 320.06

Step by Step Solution

1. Step 1: Write the proportion equation
   150.47 : 320.06 = 320.06 : x
2. Step 2: Convert to fraction form
   150.47/320.06 = 320.06/x
3. Step 3: Cross multiply
   150.47x = 320.06 × 320.06
4. Step 4: Simplify right side
   150.47x = 102,440.00
5. Step 5: Solve for x
   x = 102,440.00/150.47
6. Step 6: Final answer
   x = 680.81