Finding the Third Proportional to 105,348 and 231,304

Step by Step Solution

1. Step 1: Write the proportion equation
   105,348 : 231,304 = 231,304 : x
2. Step 2: Convert to fraction form
   105,348/231,304 = 231,304/x
3. Step 3: Cross multiply
   105,348x = 231,304 × 231,304
4. Step 4: Simplify right side
   105,348x = 53,501,540,416
5. Step 5: Solve for x
   x = 53,501,540,416/105,348
6. Step 6: Final answer
   x = 507,855.30