Finding the Third Proportional to 105,314 and 231,976

Step by Step Solution

1. Step 1: Write the proportion equation
   105,314 : 231,976 = 231,976 : x
2. Step 2: Convert to fraction form
   105,314/231,976 = 231,976/x
3. Step 3: Cross multiply
   105,314x = 231,976 × 231,976
4. Step 4: Simplify right side
   105,314x = 53,812,864,576
5. Step 5: Solve for x
   x = 53,812,864,576/105,314
6. Step 6: Final answer
   x = 510,975.41