Finding the Third Proportional to 105,984 and 224,604

Step by Step Solution

1. Step 1: Write the proportion equation
   105,984 : 224,604 = 224,604 : x
2. Step 2: Convert to fraction form
   105,984/224,604 = 224,604/x
3. Step 3: Cross multiply
   105,984x = 224,604 × 224,604
4. Step 4: Simplify right side
   105,984x = 50,446,956,816
5. Step 5: Solve for x
   x = 50,446,956,816/105,984
6. Step 6: Final answer
   x = 475,986.53