Finding the Third Proportional to 51,878 and 113,524

Step by Step Solution

1. Step 1: Write the proportion equation
   51,878 : 113,524 = 113,524 : x
2. Step 2: Convert to fraction form
   51,878/113,524 = 113,524/x
3. Step 3: Cross multiply
   51,878x = 113,524 × 113,524
4. Step 4: Simplify right side
   51,878x = 12,887,698,576
5. Step 5: Solve for x
   x = 12,887,698,576/51,878
6. Step 6: Final answer
   x = 248,423.20