Finding the Third Proportional to 213,870 and 432,920

Step by Step Solution

1. Step 1: Write the proportion equation
   213,870 : 432,920 = 432,920 : x
2. Step 2: Convert to fraction form
   213,870/432,920 = 432,920/x
3. Step 3: Cross multiply
   213,870x = 432,920 × 432,920
4. Step 4: Simplify right side
   213,870x = 187,419,726,400
5. Step 5: Solve for x
   x = 187,419,726,400/213,870
6. Step 6: Final answer
   x = 876,325.46