Finding the Third Proportional to 49,466 and 109,996

Step by Step Solution

1. Step 1: Write the proportion equation
   49,466 : 109,996 = 109,996 : x
2. Step 2: Convert to fraction form
   49,466/109,996 = 109,996/x
3. Step 3: Cross multiply
   49,466x = 109,996 × 109,996
4. Step 4: Simplify right side
   49,466x = 12,099,120,016
5. Step 5: Solve for x
   x = 12,099,120,016/49,466
6. Step 6: Final answer
   x = 244,594.67