Finding the Third Proportional to 164.69 and 354.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164.69 : 354.25 = 354.25 : x
2. Step 2: Convert to fraction form
   164.69/354.25 = 354.25/x
3. Step 3: Cross multiply
   164.69x = 354.25 × 354.25
4. Step 4: Simplify right side
   164.69x = 125,493.06
5. Step 5: Solve for x
   x = 125,493.06/164.69
6. Step 6: Final answer
   x = 762.01