Finding the Third Proportional to 51,856 and 113,098

Step by Step Solution

1. Step 1: Write the proportion equation
   51,856 : 113,098 = 113,098 : x
2. Step 2: Convert to fraction form
   51,856/113,098 = 113,098/x
3. Step 3: Cross multiply
   51,856x = 113,098 × 113,098
4. Step 4: Simplify right side
   51,856x = 12,791,157,604
5. Step 5: Solve for x
   x = 12,791,157,604/51,856
6. Step 6: Final answer
   x = 246,666.88