Finding the Third Proportional to 164.53 and 349.31

Step by Step Solution

1. Step 1: Write the proportion equation
   164.53 : 349.31 = 349.31 : x
2. Step 2: Convert to fraction form
   164.53/349.31 = 349.31/x
3. Step 3: Cross multiply
   164.53x = 349.31 × 349.31
4. Step 4: Simplify right side
   164.53x = 122,019.22
5. Step 5: Solve for x
   x = 122,019.22/164.53
6. Step 6: Final answer
   x = 741.62