Finding the Third Proportional to 212,920 and 463,638

Step by Step Solution

1. Step 1: Write the proportion equation
   212,920 : 463,638 = 463,638 : x
2. Step 2: Convert to fraction form
   212,920/463,638 = 463,638/x
3. Step 3: Cross multiply
   212,920x = 463,638 × 463,638
4. Step 4: Simplify right side
   212,920x = 214,960,195,044
5. Step 5: Solve for x
   x = 214,960,195,044/212,920
6. Step 6: Final answer
   x = 1,009,581.98