Finding the Third Proportional to 105,891 and 231,829

Step by Step Solution

1. Step 1: Write the proportion equation
   105,891 : 231,829 = 231,829 : x
2. Step 2: Convert to fraction form
   105,891/231,829 = 231,829/x
3. Step 3: Cross multiply
   105,891x = 231,829 × 231,829
4. Step 4: Simplify right side
   105,891x = 53,744,685,241
5. Step 5: Solve for x
   x = 53,744,685,241/105,891
6. Step 6: Final answer
   x = 507,547.24