Finding the Third Proportional to 164.53 and 330.56

Step by Step Solution

1. Step 1: Write the proportion equation
   164.53 : 330.56 = 330.56 : x
2. Step 2: Convert to fraction form
   164.53/330.56 = 330.56/x
3. Step 3: Cross multiply
   164.53x = 330.56 × 330.56
4. Step 4: Simplify right side
   164.53x = 109,271.57
5. Step 5: Solve for x
   x = 109,271.57/164.53
6. Step 6: Final answer
   x = 664.14