Finding the Third Proportional to 218,414 and 477,238

Step by Step Solution

1. Step 1: Write the proportion equation
   218,414 : 477,238 = 477,238 : x
2. Step 2: Convert to fraction form
   218,414/477,238 = 477,238/x
3. Step 3: Cross multiply
   218,414x = 477,238 × 477,238
4. Step 4: Simplify right side
   218,414x = 227,756,108,644
5. Step 5: Solve for x
   x = 227,756,108,644/218,414
6. Step 6: Final answer
   x = 1,042,772.48