Finding the Third Proportional to 49,767 and 109,242

Step by Step Solution

1. Step 1: Write the proportion equation
   49,767 : 109,242 = 109,242 : x
2. Step 2: Convert to fraction form
   49,767/109,242 = 109,242/x
3. Step 3: Cross multiply
   49,767x = 109,242 × 109,242
4. Step 4: Simplify right side
   49,767x = 11,933,814,564
5. Step 5: Solve for x
   x = 11,933,814,564/49,767
6. Step 6: Final answer
   x = 239,793.73