Finding the Third Proportional to 51,934 and 113,696

Step by Step Solution

1. Step 1: Write the proportion equation
   51,934 : 113,696 = 113,696 : x
2. Step 2: Convert to fraction form
   51,934/113,696 = 113,696/x
3. Step 3: Cross multiply
   51,934x = 113,696 × 113,696
4. Step 4: Simplify right side
   51,934x = 12,926,780,416
5. Step 5: Solve for x
   x = 12,926,780,416/51,934
6. Step 6: Final answer
   x = 248,907.85