Finding the Third Proportional to 51,774.50 and 113,240.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,774.50 : 113,240.50 = 113,240.50 : x
2. Step 2: Convert to fraction form
   51,774.50/113,240.50 = 113,240.50/x
3. Step 3: Cross multiply
   51,774.50x = 113,240.50 × 113,240.50
4. Step 4: Simplify right side
   51,774.50x = 12,823,410,840.25
5. Step 5: Solve for x
   x = 12,823,410,840.25/51,774.50
6. Step 6: Final answer
   x = 247,678.12