Finding the Third Proportional to 51,767 and 111,997

Step by Step Solution

1. Step 1: Write the proportion equation
   51,767 : 111,997 = 111,997 : x
2. Step 2: Convert to fraction form
   51,767/111,997 = 111,997/x
3. Step 3: Cross multiply
   51,767x = 111,997 × 111,997
4. Step 4: Simplify right side
   51,767x = 12,543,328,009
5. Step 5: Solve for x
   x = 12,543,328,009/51,767
6. Step 6: Final answer
   x = 242,303.55