Finding the Third Proportional to 105,975 and 231,636

Step by Step Solution

1. Step 1: Write the proportion equation
   105,975 : 231,636 = 231,636 : x
2. Step 2: Convert to fraction form
   105,975/231,636 = 231,636/x
3. Step 3: Cross multiply
   105,975x = 231,636 × 231,636
4. Step 4: Simplify right side
   105,975x = 53,655,236,496
5. Step 5: Solve for x
   x = 53,655,236,496/105,975
6. Step 6: Final answer
   x = 506,300.89