Finding the Third Proportional to 49,464 and 109,983

Step by Step Solution

1. Step 1: Write the proportion equation
   49,464 : 109,983 = 109,983 : x
2. Step 2: Convert to fraction form
   49,464/109,983 = 109,983/x
3. Step 3: Cross multiply
   49,464x = 109,983 × 109,983
4. Step 4: Simplify right side
   49,464x = 12,096,260,289
5. Step 5: Solve for x
   x = 12,096,260,289/49,464
6. Step 6: Final answer
   x = 244,546.75