Finding the Third Proportional to 109,814 and 223,622

Step by Step Solution

1. Step 1: Write the proportion equation
   109,814 : 223,622 = 223,622 : x
2. Step 2: Convert to fraction form
   109,814/223,622 = 223,622/x
3. Step 3: Cross multiply
   109,814x = 223,622 × 223,622
4. Step 4: Simplify right side
   109,814x = 50,006,798,884
5. Step 5: Solve for x
   x = 50,006,798,884/109,814
6. Step 6: Final answer
   x = 455,377.26