Finding the Third Proportional to 109,086 and 231,357

Step by Step Solution

1. Step 1: Write the proportion equation
   109,086 : 231,357 = 231,357 : x
2. Step 2: Convert to fraction form
   109,086/231,357 = 231,357/x
3. Step 3: Cross multiply
   109,086x = 231,357 × 231,357
4. Step 4: Simplify right side
   109,086x = 53,526,061,449
5. Step 5: Solve for x
   x = 53,526,061,449/109,086
6. Step 6: Final answer
   x = 490,677.64