Finding the Third Proportional to 214,304 and 466,694

Step by Step Solution

1. Step 1: Write the proportion equation
   214,304 : 466,694 = 466,694 : x
2. Step 2: Convert to fraction form
   214,304/466,694 = 466,694/x
3. Step 3: Cross multiply
   214,304x = 466,694 × 466,694
4. Step 4: Simplify right side
   214,304x = 217,803,289,636
5. Step 5: Solve for x
   x = 217,803,289,636/214,304
6. Step 6: Final answer
   x = 1,016,328.62