Finding the Third Proportional to 212,238 and 462,384

Step by Step Solution

1. Step 1: Write the proportion equation
   212,238 : 462,384 = 462,384 : x
2. Step 2: Convert to fraction form
   212,238/462,384 = 462,384/x
3. Step 3: Cross multiply
   212,238x = 462,384 × 462,384
4. Step 4: Simplify right side
   212,238x = 213,798,963,456
5. Step 5: Solve for x
   x = 213,798,963,456/212,238
6. Step 6: Final answer
   x = 1,007,354.78