Finding the Third Proportional to 105,909 and 231,780

Step by Step Solution

1. Step 1: Write the proportion equation
   105,909 : 231,780 = 231,780 : x
2. Step 2: Convert to fraction form
   105,909/231,780 = 231,780/x
3. Step 3: Cross multiply
   105,909x = 231,780 × 231,780
4. Step 4: Simplify right side
   105,909x = 53,721,968,400
5. Step 5: Solve for x
   x = 53,721,968,400/105,909
6. Step 6: Final answer
   x = 507,246.49