Finding the Third Proportional to 50,128 and 109,823

Step by Step Solution

1. Step 1: Write the proportion equation
   50,128 : 109,823 = 109,823 : x
2. Step 2: Convert to fraction form
   50,128/109,823 = 109,823/x
3. Step 3: Cross multiply
   50,128x = 109,823 × 109,823
4. Step 4: Simplify right side
   50,128x = 12,061,091,329
5. Step 5: Solve for x
   x = 12,061,091,329/50,128
6. Step 6: Final answer
   x = 240,605.88