Finding the Third Proportional to 50,421 and 100,842

Step by Step Solution

1. Step 1: Write the proportion equation
   50,421 : 100,842 = 100,842 : x
2. Step 2: Convert to fraction form
   50,421/100,842 = 100,842/x
3. Step 3: Cross multiply
   50,421x = 100,842 × 100,842
4. Step 4: Simplify right side
   50,421x = 10,169,108,964
5. Step 5: Solve for x
   x = 10,169,108,964/50,421
6. Step 6: Final answer
   x = 201,684