Finding the Third Proportional to 105,542 and 224,038

Step by Step Solution

1. Step 1: Write the proportion equation
   105,542 : 224,038 = 224,038 : x
2. Step 2: Convert to fraction form
   105,542/224,038 = 224,038/x
3. Step 3: Cross multiply
   105,542x = 224,038 × 224,038
4. Step 4: Simplify right side
   105,542x = 50,193,025,444
5. Step 5: Solve for x
   x = 50,193,025,444/105,542
6. Step 6: Final answer
   x = 475,573.95