Finding the Third Proportional to 105,977 and 224,590

Step by Step Solution

1. Step 1: Write the proportion equation
   105,977 : 224,590 = 224,590 : x
2. Step 2: Convert to fraction form
   105,977/224,590 = 224,590/x
3. Step 3: Cross multiply
   105,977x = 224,590 × 224,590
4. Step 4: Simplify right side
   105,977x = 50,440,668,100
5. Step 5: Solve for x
   x = 50,440,668,100/105,977
6. Step 6: Final answer
   x = 475,958.63