Finding the Third Proportional to 212,644 and 462,648

Step by Step Solution

1. Step 1: Write the proportion equation
   212,644 : 462,648 = 462,648 : x
2. Step 2: Convert to fraction form
   212,644/462,648 = 462,648/x
3. Step 3: Cross multiply
   212,644x = 462,648 × 462,648
4. Step 4: Simplify right side
   212,644x = 214,043,171,904
5. Step 5: Solve for x
   x = 214,043,171,904/212,644
6. Step 6: Final answer
   x = 1,006,579.88