Finding the Third Proportional to 105,996 and 231,915

Step by Step Solution

1. Step 1: Write the proportion equation
   105,996 : 231,915 = 231,915 : x
2. Step 2: Convert to fraction form
   105,996/231,915 = 231,915/x
3. Step 3: Cross multiply
   105,996x = 231,915 × 231,915
4. Step 4: Simplify right side
   105,996x = 53,784,567,225
5. Step 5: Solve for x
   x = 53,784,567,225/105,996
6. Step 6: Final answer
   x = 507,420.73