Finding the Third Proportional to 50,893 and 111,826

Step by Step Solution

1. Step 1: Write the proportion equation
   50,893 : 111,826 = 111,826 : x
2. Step 2: Convert to fraction form
   50,893/111,826 = 111,826/x
3. Step 3: Cross multiply
   50,893x = 111,826 × 111,826
4. Step 4: Simplify right side
   50,893x = 12,505,054,276
5. Step 5: Solve for x
   x = 12,505,054,276/50,893
6. Step 6: Final answer
   x = 245,712.66