Finding the Third Proportional to 119,879.25 and 258,456

Step by Step Solution

1. Step 1: Write the proportion equation
   119,879.25 : 258,456 = 258,456 : x
2. Step 2: Convert to fraction form
   119,879.25/258,456 = 258,456/x
3. Step 3: Cross multiply
   119,879.25x = 258,456 × 258,456
4. Step 4: Simplify right side
   119,879.25x = 66,799,503,936
5. Step 5: Solve for x
   x = 66,799,503,936/119,879.25
6. Step 6: Final answer
   x = 557,223.24