Finding the Third Proportional to 50,438 and 109,604

Step by Step Solution

1. Step 1: Write the proportion equation
   50,438 : 109,604 = 109,604 : x
2. Step 2: Convert to fraction form
   50,438/109,604 = 109,604/x
3. Step 3: Cross multiply
   50,438x = 109,604 × 109,604
4. Step 4: Simplify right side
   50,438x = 12,013,036,816
5. Step 5: Solve for x
   x = 12,013,036,816/50,438
6. Step 6: Final answer
   x = 238,174.33