Finding the Third Proportional to 95,038 and 204,116

Step by Step Solution

1. Step 1: Write the proportion equation
   95,038 : 204,116 = 204,116 : x
2. Step 2: Convert to fraction form
   95,038/204,116 = 204,116/x
3. Step 3: Cross multiply
   95,038x = 204,116 × 204,116
4. Step 4: Simplify right side
   95,038x = 41,663,341,456
5. Step 5: Solve for x
   x = 41,663,341,456/95,038
6. Step 6: Final answer
   x = 438,386.13