Finding the Third Proportional to 50,085 and 109,557

Step by Step Solution

1. Step 1: Write the proportion equation
   50,085 : 109,557 = 109,557 : x
2. Step 2: Convert to fraction form
   50,085/109,557 = 109,557/x
3. Step 3: Cross multiply
   50,085x = 109,557 × 109,557
4. Step 4: Simplify right side
   50,085x = 12,002,736,249
5. Step 5: Solve for x
   x = 12,002,736,249/50,085
6. Step 6: Final answer
   x = 239,647.32