Finding the Third Proportional to 213,694 and 330,870

Step by Step Solution

1. Step 1: Write the proportion equation
   213,694 : 330,870 = 330,870 : x
2. Step 2: Convert to fraction form
   213,694/330,870 = 330,870/x
3. Step 3: Cross multiply
   213,694x = 330,870 × 330,870
4. Step 4: Simplify right side
   213,694x = 109,474,956,900
5. Step 5: Solve for x
   x = 109,474,956,900/213,694
6. Step 6: Final answer
   x = 512,297.76