Finding the Third Proportional to 95,888 and 204,076

Step by Step Solution

1. Step 1: Write the proportion equation
   95,888 : 204,076 = 204,076 : x
2. Step 2: Convert to fraction form
   95,888/204,076 = 204,076/x
3. Step 3: Cross multiply
   95,888x = 204,076 × 204,076
4. Step 4: Simplify right side
   95,888x = 41,647,013,776
5. Step 5: Solve for x
   x = 41,647,013,776/95,888
6. Step 6: Final answer
   x = 434,329.78