Finding the Third Proportional to 51,781 and 113,253

Step by Step Solution

1. Step 1: Write the proportion equation
   51,781 : 113,253 = 113,253 : x
2. Step 2: Convert to fraction form
   51,781/113,253 = 113,253/x
3. Step 3: Cross multiply
   51,781x = 113,253 × 113,253
4. Step 4: Simplify right side
   51,781x = 12,826,242,009
5. Step 5: Solve for x
   x = 12,826,242,009/51,781
6. Step 6: Final answer
   x = 247,701.71