Finding the Third Proportional to 51,491 and 112,824

Step by Step Solution

1. Step 1: Write the proportion equation
   51,491 : 112,824 = 112,824 : x
2. Step 2: Convert to fraction form
   51,491/112,824 = 112,824/x
3. Step 3: Cross multiply
   51,491x = 112,824 × 112,824
4. Step 4: Simplify right side
   51,491x = 12,729,254,976
5. Step 5: Solve for x
   x = 12,729,254,976/51,491
6. Step 6: Final answer
   x = 247,213.20