Finding the Third Proportional to 95,146 and 204,644

Step by Step Solution

1. Step 1: Write the proportion equation
   95,146 : 204,644 = 204,644 : x
2. Step 2: Convert to fraction form
   95,146/204,644 = 204,644/x
3. Step 3: Cross multiply
   95,146x = 204,644 × 204,644
4. Step 4: Simplify right side
   95,146x = 41,879,166,736
5. Step 5: Solve for x
   x = 41,879,166,736/95,146
6. Step 6: Final answer
   x = 440,156.88