Finding the Third Proportional to 113,824 and 248,384

Step by Step Solution

1. Step 1: Write the proportion equation
   113,824 : 248,384 = 248,384 : x
2. Step 2: Convert to fraction form
   113,824/248,384 = 248,384/x
3. Step 3: Cross multiply
   113,824x = 248,384 × 248,384
4. Step 4: Simplify right side
   113,824x = 61,694,611,456
5. Step 5: Solve for x
   x = 61,694,611,456/113,824
6. Step 6: Final answer
   x = 542,017.60