Finding the Third Proportional to 164.25 and 357.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164.25 : 357.25 = 357.25 : x
2. Step 2: Convert to fraction form
   164.25/357.25 = 357.25/x
3. Step 3: Cross multiply
   164.25x = 357.25 × 357.25
4. Step 4: Simplify right side
   164.25x = 127,627.56
5. Step 5: Solve for x
   x = 127,627.56/164.25
6. Step 6: Final answer
   x = 777.03