Finding the Third Proportional to 105,890 and 231,827

Step by Step Solution

1. Step 1: Write the proportion equation
   105,890 : 231,827 = 231,827 : x
2. Step 2: Convert to fraction form
   105,890/231,827 = 231,827/x
3. Step 3: Cross multiply
   105,890x = 231,827 × 231,827
4. Step 4: Simplify right side
   105,890x = 53,743,757,929
5. Step 5: Solve for x
   x = 53,743,757,929/105,890
6. Step 6: Final answer
   x = 507,543.28