Finding the Third Proportional to 105,315 and 231,978

Step by Step Solution

1. Step 1: Write the proportion equation
   105,315 : 231,978 = 231,978 : x
2. Step 2: Convert to fraction form
   105,315/231,978 = 231,978/x
3. Step 3: Cross multiply
   105,315x = 231,978 × 231,978
4. Step 4: Simplify right side
   105,315x = 53,813,792,484
5. Step 5: Solve for x
   x = 53,813,792,484/105,315
6. Step 6: Final answer
   x = 510,979.37