Finding the Third Proportional to 164.53 and 354.52

Step by Step Solution

1. Step 1: Write the proportion equation
   164.53 : 354.52 = 354.52 : x
2. Step 2: Convert to fraction form
   164.53/354.52 = 354.52/x
3. Step 3: Cross multiply
   164.53x = 354.52 × 354.52
4. Step 4: Simplify right side
   164.53x = 125,681.33
5. Step 5: Solve for x
   x = 125,681.33/164.53
6. Step 6: Final answer
   x = 763.88