Finding the Third Proportional to 105,960 and 231,604

Step by Step Solution

1. Step 1: Write the proportion equation
   105,960 : 231,604 = 231,604 : x
2. Step 2: Convert to fraction form
   105,960/231,604 = 231,604/x
3. Step 3: Cross multiply
   105,960x = 231,604 × 231,604
4. Step 4: Simplify right side
   105,960x = 53,640,412,816
5. Step 5: Solve for x
   x = 53,640,412,816/105,960
6. Step 6: Final answer
   x = 506,232.66