Finding the Third Proportional to 50,530 and 109,796

Step by Step Solution

1. Step 1: Write the proportion equation
   50,530 : 109,796 = 109,796 : x
2. Step 2: Convert to fraction form
   50,530/109,796 = 109,796/x
3. Step 3: Cross multiply
   50,530x = 109,796 × 109,796
4. Step 4: Simplify right side
   50,530x = 12,055,161,616
5. Step 5: Solve for x
   x = 12,055,161,616/50,530
6. Step 6: Final answer
   x = 238,574.34