Finding the Third Proportional to 105,417 and 231,570

Step by Step Solution

1. Step 1: Write the proportion equation
   105,417 : 231,570 = 231,570 : x
2. Step 2: Convert to fraction form
   105,417/231,570 = 231,570/x
3. Step 3: Cross multiply
   105,417x = 231,570 × 231,570
4. Step 4: Simplify right side
   105,417x = 53,624,664,900
5. Step 5: Solve for x
   x = 53,624,664,900/105,417
6. Step 6: Final answer
   x = 508,690.86