Finding the Third Proportional to 212,436 and 462,336

Step by Step Solution

1. Step 1: Write the proportion equation
   212,436 : 462,336 = 462,336 : x
2. Step 2: Convert to fraction form
   212,436/462,336 = 462,336/x
3. Step 3: Cross multiply
   212,436x = 462,336 × 462,336
4. Step 4: Simplify right side
   212,436x = 213,754,576,896
5. Step 5: Solve for x
   x = 213,754,576,896/212,436
6. Step 6: Final answer
   x = 1,006,206.94