Finding the Third Proportional to 50,091 and 109,569

Step by Step Solution

1. Step 1: Write the proportion equation
   50,091 : 109,569 = 109,569 : x
2. Step 2: Convert to fraction form
   50,091/109,569 = 109,569/x
3. Step 3: Cross multiply
   50,091x = 109,569 × 109,569
4. Step 4: Simplify right side
   50,091x = 12,005,365,761
5. Step 5: Solve for x
   x = 12,005,365,761/50,091
6. Step 6: Final answer
   x = 239,671.11