Finding the Third Proportional to 50,435 and 109,741

Step by Step Solution

1. Step 1: Write the proportion equation
   50,435 : 109,741 = 109,741 : x
2. Step 2: Convert to fraction form
   50,435/109,741 = 109,741/x
3. Step 3: Cross multiply
   50,435x = 109,741 × 109,741
4. Step 4: Simplify right side
   50,435x = 12,043,087,081
5. Step 5: Solve for x
   x = 12,043,087,081/50,435
6. Step 6: Final answer
   x = 238,784.32