Finding the Third Proportional to 164.53 and 358.59

Step by Step Solution

1. Step 1: Write the proportion equation
   164.53 : 358.59 = 358.59 : x
2. Step 2: Convert to fraction form
   164.53/358.59 = 358.59/x
3. Step 3: Cross multiply
   164.53x = 358.59 × 358.59
4. Step 4: Simplify right side
   164.53x = 128,589.48
5. Step 5: Solve for x
   x = 128,589.48/164.53
6. Step 6: Final answer
   x = 781.55