Finding the Third Proportional to 105,408 and 248,824

Step by Step Solution

1. Step 1: Write the proportion equation
   105,408 : 248,824 = 248,824 : x
2. Step 2: Convert to fraction form
   105,408/248,824 = 248,824/x
3. Step 3: Cross multiply
   105,408x = 248,824 × 248,824
4. Step 4: Simplify right side
   105,408x = 61,913,382,976
5. Step 5: Solve for x
   x = 61,913,382,976/105,408
6. Step 6: Final answer
   x = 587,368.92