Finding the Third Proportional to 51,684 and 113,844

Step by Step Solution

1. Step 1: Write the proportion equation
   51,684 : 113,844 = 113,844 : x
2. Step 2: Convert to fraction form
   51,684/113,844 = 113,844/x
3. Step 3: Cross multiply
   51,684x = 113,844 × 113,844
4. Step 4: Simplify right side
   51,684x = 12,960,456,336
5. Step 5: Solve for x
   x = 12,960,456,336/51,684
6. Step 6: Final answer
   x = 250,763.41