Finding the Third Proportional to 258,204 and 352,012

Step by Step Solution

1. Step 1: Write the proportion equation
   258,204 : 352,012 = 352,012 : x
2. Step 2: Convert to fraction form
   258,204/352,012 = 352,012/x
3. Step 3: Cross multiply
   258,204x = 352,012 × 352,012
4. Step 4: Simplify right side
   258,204x = 123,912,448,144
5. Step 5: Solve for x
   x = 123,912,448,144/258,204
6. Step 6: Final answer
   x = 479,901.35