Finding the Third Proportional to 105,349 and 231,306

Step by Step Solution

1. Step 1: Write the proportion equation
   105,349 : 231,306 = 231,306 : x
2. Step 2: Convert to fraction form
   105,349/231,306 = 231,306/x
3. Step 3: Cross multiply
   105,349x = 231,306 × 231,306
4. Step 4: Simplify right side
   105,349x = 53,502,465,636
5. Step 5: Solve for x
   x = 53,502,465,636/105,349
6. Step 6: Final answer
   x = 507,859.26