Finding the Third Proportional to 50,305 and 109,825

Step by Step Solution

1. Step 1: Write the proportion equation
   50,305 : 109,825 = 109,825 : x
2. Step 2: Convert to fraction form
   50,305/109,825 = 109,825/x
3. Step 3: Cross multiply
   50,305x = 109,825 × 109,825
4. Step 4: Simplify right side
   50,305x = 12,061,530,625
5. Step 5: Solve for x
   x = 12,061,530,625/50,305
6. Step 6: Final answer
   x = 239,768.03