Finding the Third Proportional to 105,986.50 and 224,609

Step by Step Solution

1. Step 1: Write the proportion equation
   105,986.50 : 224,609 = 224,609 : x
2. Step 2: Convert to fraction form
   105,986.50/224,609 = 224,609/x
3. Step 3: Cross multiply
   105,986.50x = 224,609 × 224,609
4. Step 4: Simplify right side
   105,986.50x = 50,449,202,881
5. Step 5: Solve for x
   x = 50,449,202,881/105,986.50
6. Step 6: Final answer
   x = 475,996.50