Finding the Third Proportional to 51,824 and 111,928

Step by Step Solution

1. Step 1: Write the proportion equation
   51,824 : 111,928 = 111,928 : x
2. Step 2: Convert to fraction form
   51,824/111,928 = 111,928/x
3. Step 3: Cross multiply
   51,824x = 111,928 × 111,928
4. Step 4: Simplify right side
   51,824x = 12,527,877,184
5. Step 5: Solve for x
   x = 12,527,877,184/51,824
6. Step 6: Final answer
   x = 241,738.91