Finding the Third Proportional to 50,538 and 109,434

Step by Step Solution

1. Step 1: Write the proportion equation
   50,538 : 109,434 = 109,434 : x
2. Step 2: Convert to fraction form
   50,538/109,434 = 109,434/x
3. Step 3: Cross multiply
   50,538x = 109,434 × 109,434
4. Step 4: Simplify right side
   50,538x = 11,975,800,356
5. Step 5: Solve for x
   x = 11,975,800,356/50,538
6. Step 6: Final answer
   x = 236,966.25