Finding the Third Proportional to 51,824 and 113,692

Step by Step Solution

1. Step 1: Write the proportion equation
   51,824 : 113,692 = 113,692 : x
2. Step 2: Convert to fraction form
   51,824/113,692 = 113,692/x
3. Step 3: Cross multiply
   51,824x = 113,692 × 113,692
4. Step 4: Simplify right side
   51,824x = 12,925,870,864
5. Step 5: Solve for x
   x = 12,925,870,864/51,824
6. Step 6: Final answer
   x = 249,418.63