Finding the Third Proportional to 103,538 and 224,002

Step by Step Solution

1. Step 1: Write the proportion equation
   103,538 : 224,002 = 224,002 : x
2. Step 2: Convert to fraction form
   103,538/224,002 = 224,002/x
3. Step 3: Cross multiply
   103,538x = 224,002 × 224,002
4. Step 4: Simplify right side
   103,538x = 50,176,896,004
5. Step 5: Solve for x
   x = 50,176,896,004/103,538
6. Step 6: Final answer
   x = 484,623.00