Finding the Third Proportional to 53,792 and 113,984

Step by Step Solution

1. Step 1: Write the proportion equation
   53,792 : 113,984 = 113,984 : x
2. Step 2: Convert to fraction form
   53,792/113,984 = 113,984/x
3. Step 3: Cross multiply
   53,792x = 113,984 × 113,984
4. Step 4: Simplify right side
   53,792x = 12,992,352,256
5. Step 5: Solve for x
   x = 12,992,352,256/53,792
6. Step 6: Final answer
   x = 241,529.45