Finding the Third Proportional to 102,542 and 223,036

Step by Step Solution

1. Step 1: Write the proportion equation
   102,542 : 223,036 = 223,036 : x
2. Step 2: Convert to fraction form
   102,542/223,036 = 223,036/x
3. Step 3: Cross multiply
   102,542x = 223,036 × 223,036
4. Step 4: Simplify right side
   102,542x = 49,745,057,296
5. Step 5: Solve for x
   x = 49,745,057,296/102,542
6. Step 6: Final answer
   x = 485,118.85