Finding the Third Proportional to 214,668 and 471,624

Step by Step Solution

1. Step 1: Write the proportion equation
   214,668 : 471,624 = 471,624 : x
2. Step 2: Convert to fraction form
   214,668/471,624 = 471,624/x
3. Step 3: Cross multiply
   214,668x = 471,624 × 471,624
4. Step 4: Simplify right side
   214,668x = 222,429,197,376
5. Step 5: Solve for x
   x = 222,429,197,376/214,668
6. Step 6: Final answer
   x = 1,036,154.42