Finding the Third Proportional to 95,684 and 209,506

Step by Step Solution

1. Step 1: Write the proportion equation
   95,684 : 209,506 = 209,506 : x
2. Step 2: Convert to fraction form
   95,684/209,506 = 209,506/x
3. Step 3: Cross multiply
   95,684x = 209,506 × 209,506
4. Step 4: Simplify right side
   95,684x = 43,892,764,036
5. Step 5: Solve for x
   x = 43,892,764,036/95,684
6. Step 6: Final answer
   x = 458,726.27