Finding the Third Proportional to 49,829 and 109,504

Step by Step Solution

1. Step 1: Write the proportion equation
   49,829 : 109,504 = 109,504 : x
2. Step 2: Convert to fraction form
   49,829/109,504 = 109,504/x
3. Step 3: Cross multiply
   49,829x = 109,504 × 109,504
4. Step 4: Simplify right side
   49,829x = 11,991,126,016
5. Step 5: Solve for x
   x = 11,991,126,016/49,829
6. Step 6: Final answer
   x = 240,645.53