Finding the Third Proportional to 51,838 and 113,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,838 : 113,414.50 = 113,414.50 : x
2. Step 2: Convert to fraction form
   51,838/113,414.50 = 113,414.50/x
3. Step 3: Cross multiply
   51,838x = 113,414.50 × 113,414.50
4. Step 4: Simplify right side
   51,838x = 12,862,848,810.25
5. Step 5: Solve for x
   x = 12,862,848,810.25/51,838
6. Step 6: Final answer
   x = 248,135.51