Finding the Third Proportional to 109,086 and 231,354

Step by Step Solution

1. Step 1: Write the proportion equation
   109,086 : 231,354 = 231,354 : x
2. Step 2: Convert to fraction form
   109,086/231,354 = 231,354/x
3. Step 3: Cross multiply
   109,086x = 231,354 × 231,354
4. Step 4: Simplify right side
   109,086x = 53,524,673,316
5. Step 5: Solve for x
   x = 53,524,673,316/109,086
6. Step 6: Final answer
   x = 490,664.92