Finding the Third Proportional to 105,910 and 233,304

Step by Step Solution

1. Step 1: Write the proportion equation
   105,910 : 233,304 = 233,304 : x
2. Step 2: Convert to fraction form
   105,910/233,304 = 233,304/x
3. Step 3: Cross multiply
   105,910x = 233,304 × 233,304
4. Step 4: Simplify right side
   105,910x = 54,430,756,416
5. Step 5: Solve for x
   x = 54,430,756,416/105,910
6. Step 6: Final answer
   x = 513,934.06