Finding the Third Proportional to 106,443 and 231,786

Step by Step Solution

1. Step 1: Write the proportion equation
   106,443 : 231,786 = 231,786 : x
2. Step 2: Convert to fraction form
   106,443/231,786 = 231,786/x
3. Step 3: Cross multiply
   106,443x = 231,786 × 231,786
4. Step 4: Simplify right side
   106,443x = 53,724,749,796
5. Step 5: Solve for x
   x = 53,724,749,796/106,443
6. Step 6: Final answer
   x = 504,727.88