Finding the Third Proportional to 51,839 and 113,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,839 : 113,336.50 = 113,336.50 : x
2. Step 2: Convert to fraction form
   51,839/113,336.50 = 113,336.50/x
3. Step 3: Cross multiply
   51,839x = 113,336.50 × 113,336.50
4. Step 4: Simplify right side
   51,839x = 12,845,162,232.25
5. Step 5: Solve for x
   x = 12,845,162,232.25/51,839
6. Step 6: Final answer
   x = 247,789.55