Finding the Third Proportional to 51,884 and 113,824

Step by Step Solution

1. Step 1: Write the proportion equation
   51,884 : 113,824 = 113,824 : x
2. Step 2: Convert to fraction form
   51,884/113,824 = 113,824/x
3. Step 3: Cross multiply
   51,884x = 113,824 × 113,824
4. Step 4: Simplify right side
   51,884x = 12,955,902,976
5. Step 5: Solve for x
   x = 12,955,902,976/51,884
6. Step 6: Final answer
   x = 249,709.02