Finding the Third Proportional to 102,442 and 223,564

Step by Step Solution

1. Step 1: Write the proportion equation
   102,442 : 223,564 = 223,564 : x
2. Step 2: Convert to fraction form
   102,442/223,564 = 223,564/x
3. Step 3: Cross multiply
   102,442x = 223,564 × 223,564
4. Step 4: Simplify right side
   102,442x = 49,980,862,096
5. Step 5: Solve for x
   x = 49,980,862,096/102,442
6. Step 6: Final answer
   x = 487,894.24