Finding the Third Proportional to 51,856 and 113,097

Step by Step Solution

1. Step 1: Write the proportion equation
   51,856 : 113,097 = 113,097 : x
2. Step 2: Convert to fraction form
   51,856/113,097 = 113,097/x
3. Step 3: Cross multiply
   51,856x = 113,097 × 113,097
4. Step 4: Simplify right side
   51,856x = 12,790,931,409
5. Step 5: Solve for x
   x = 12,790,931,409/51,856
6. Step 6: Final answer
   x = 246,662.52