Finding the Third Proportional to 106,086 and 231,855

Step by Step Solution

1. Step 1: Write the proportion equation
   106,086 : 231,855 = 231,855 : x
2. Step 2: Convert to fraction form
   106,086/231,855 = 231,855/x
3. Step 3: Cross multiply
   106,086x = 231,855 × 231,855
4. Step 4: Simplify right side
   106,086x = 53,756,741,025
5. Step 5: Solve for x
   x = 53,756,741,025/106,086
6. Step 6: Final answer
   x = 506,727.95