Finding the Third Proportional to 105,313 and 231,974

Step by Step Solution

1. Step 1: Write the proportion equation
   105,313 : 231,974 = 231,974 : x
2. Step 2: Convert to fraction form
   105,313/231,974 = 231,974/x
3. Step 3: Cross multiply
   105,313x = 231,974 × 231,974
4. Step 4: Simplify right side
   105,313x = 53,811,936,676
5. Step 5: Solve for x
   x = 53,811,936,676/105,313
6. Step 6: Final answer
   x = 510,971.45