Finding the Third Proportional to 95,469 and 205,692

Step by Step Solution

1. Step 1: Write the proportion equation
   95,469 : 205,692 = 205,692 : x
2. Step 2: Convert to fraction form
   95,469/205,692 = 205,692/x
3. Step 3: Cross multiply
   95,469x = 205,692 × 205,692
4. Step 4: Simplify right side
   95,469x = 42,309,198,864
5. Step 5: Solve for x
   x = 42,309,198,864/95,469
6. Step 6: Final answer
   x = 443,172.12