Finding the Third Proportional to 103,996 and 224,597

Step by Step Solution

1. Step 1: Write the proportion equation
   103,996 : 224,597 = 224,597 : x
2. Step 2: Convert to fraction form
   103,996/224,597 = 224,597/x
3. Step 3: Cross multiply
   103,996x = 224,597 × 224,597
4. Step 4: Simplify right side
   103,996x = 50,443,812,409
5. Step 5: Solve for x
   x = 50,443,812,409/103,996
6. Step 6: Final answer
   x = 485,055.31