Finding the Third Proportional to 103,684 and 217,810

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 217,810 = 217,810 : x
2. Step 2: Convert to fraction form
   103,684/217,810 = 217,810/x
3. Step 3: Cross multiply
   103,684x = 217,810 × 217,810
4. Step 4: Simplify right side
   103,684x = 47,441,196,100
5. Step 5: Solve for x
   x = 47,441,196,100/103,684
6. Step 6: Final answer
   x = 457,555.61