Finding the Third Proportional to 103,664 and 213,870

Step by Step Solution

1. Step 1: Write the proportion equation
   103,664 : 213,870 = 213,870 : x
2. Step 2: Convert to fraction form
   103,664/213,870 = 213,870/x
3. Step 3: Cross multiply
   103,664x = 213,870 × 213,870
4. Step 4: Simplify right side
   103,664x = 45,740,376,900
5. Step 5: Solve for x
   x = 45,740,376,900/103,664
6. Step 6: Final answer
   x = 441,236.85