Finding the Third Proportional to 105,990 and 224,616

Step by Step Solution

1. Step 1: Write the proportion equation
   105,990 : 224,616 = 224,616 : x
2. Step 2: Convert to fraction form
   105,990/224,616 = 224,616/x
3. Step 3: Cross multiply
   105,990x = 224,616 × 224,616
4. Step 4: Simplify right side
   105,990x = 50,452,347,456
5. Step 5: Solve for x
   x = 50,452,347,456/105,990
6. Step 6: Final answer
   x = 476,010.45