Finding the Third Proportional to 105,988 and 224,612

Step by Step Solution

1. Step 1: Write the proportion equation
   105,988 : 224,612 = 224,612 : x
2. Step 2: Convert to fraction form
   105,988/224,612 = 224,612/x
3. Step 3: Cross multiply
   105,988x = 224,612 × 224,612
4. Step 4: Simplify right side
   105,988x = 50,450,550,544
5. Step 5: Solve for x
   x = 50,450,550,544/105,988
6. Step 6: Final answer
   x = 476,002.48