Finding the Third Proportional to 50,944 and 112,257

Step by Step Solution

1. Step 1: Write the proportion equation
   50,944 : 112,257 = 112,257 : x
2. Step 2: Convert to fraction form
   50,944/112,257 = 112,257/x
3. Step 3: Cross multiply
   50,944x = 112,257 × 112,257
4. Step 4: Simplify right side
   50,944x = 12,601,634,049
5. Step 5: Solve for x
   x = 12,601,634,049/50,944
6. Step 6: Final answer
   x = 247,362.48