Finding the Third Proportional to 51,845 and 111,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,845 : 111,512.50 = 111,512.50 : x
2. Step 2: Convert to fraction form
   51,845/111,512.50 = 111,512.50/x
3. Step 3: Cross multiply
   51,845x = 111,512.50 × 111,512.50
4. Step 4: Simplify right side
   51,845x = 12,435,037,656.25
5. Step 5: Solve for x
   x = 12,435,037,656.25/51,845
6. Step 6: Final answer
   x = 239,850.28