Finding the Third Proportional to 101,442 and 223,626

Step by Step Solution

1. Step 1: Write the proportion equation
   101,442 : 223,626 = 223,626 : x
2. Step 2: Convert to fraction form
   101,442/223,626 = 223,626/x
3. Step 3: Cross multiply
   101,442x = 223,626 × 223,626
4. Step 4: Simplify right side
   101,442x = 50,008,587,876
5. Step 5: Solve for x
   x = 50,008,587,876/101,442
6. Step 6: Final answer
   x = 492,977.15