Finding the Third Proportional to 49,644 and 109,116

Step by Step Solution

1. Step 1: Write the proportion equation
   49,644 : 109,116 = 109,116 : x
2. Step 2: Convert to fraction form
   49,644/109,116 = 109,116/x
3. Step 3: Cross multiply
   49,644x = 109,116 × 109,116
4. Step 4: Simplify right side
   49,644x = 11,906,301,456
5. Step 5: Solve for x
   x = 11,906,301,456/49,644
6. Step 6: Final answer
   x = 239,833.64