Finding the Third Proportional to 95,138 and 204,996

Step by Step Solution

1. Step 1: Write the proportion equation
   95,138 : 204,996 = 204,996 : x
2. Step 2: Convert to fraction form
   95,138/204,996 = 204,996/x
3. Step 3: Cross multiply
   95,138x = 204,996 × 204,996
4. Step 4: Simplify right side
   95,138x = 42,023,360,016
5. Step 5: Solve for x
   x = 42,023,360,016/95,138
6. Step 6: Final answer
   x = 441,709.52