Finding the Third Proportional to 51,857 and 113,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,857 : 113,099.50 = 113,099.50 : x
2. Step 2: Convert to fraction form
   51,857/113,099.50 = 113,099.50/x
3. Step 3: Cross multiply
   51,857x = 113,099.50 × 113,099.50
4. Step 4: Simplify right side
   51,857x = 12,791,496,900.25
5. Step 5: Solve for x
   x = 12,791,496,900.25/51,857
6. Step 6: Final answer
   x = 246,668.66