Finding the Third Proportional to 105,684 and 213,096

Step by Step Solution

1. Step 1: Write the proportion equation
   105,684 : 213,096 = 213,096 : x
2. Step 2: Convert to fraction form
   105,684/213,096 = 213,096/x
3. Step 3: Cross multiply
   105,684x = 213,096 × 213,096
4. Step 4: Simplify right side
   105,684x = 45,409,905,216
5. Step 5: Solve for x
   x = 45,409,905,216/105,684
6. Step 6: Final answer
   x = 429,676.25