Finding the Third Proportional to 105,582 and 219,870

Step by Step Solution

1. Step 1: Write the proportion equation
   105,582 : 219,870 = 219,870 : x
2. Step 2: Convert to fraction form
   105,582/219,870 = 219,870/x
3. Step 3: Cross multiply
   105,582x = 219,870 × 219,870
4. Step 4: Simplify right side
   105,582x = 48,342,816,900
5. Step 5: Solve for x
   x = 48,342,816,900/105,582
6. Step 6: Final answer
   x = 457,869.87