Finding the Third Proportional to 50,423 and 100,846

Step by Step Solution

1. Step 1: Write the proportion equation
   50,423 : 100,846 = 100,846 : x
2. Step 2: Convert to fraction form
   50,423/100,846 = 100,846/x
3. Step 3: Cross multiply
   50,423x = 100,846 × 100,846
4. Step 4: Simplify right side
   50,423x = 10,169,915,716
5. Step 5: Solve for x
   x = 10,169,915,716/50,423
6. Step 6: Final answer
   x = 201,692