Finding the Third Proportional to 51,846 and 113,628

Step by Step Solution

1. Step 1: Write the proportion equation
   51,846 : 113,628 = 113,628 : x
2. Step 2: Convert to fraction form
   51,846/113,628 = 113,628/x
3. Step 3: Cross multiply
   51,846x = 113,628 × 113,628
4. Step 4: Simplify right side
   51,846x = 12,911,322,384
5. Step 5: Solve for x
   x = 12,911,322,384/51,846
6. Step 6: Final answer
   x = 249,032.18