Finding the Third Proportional to 95,256 and 206,916

Step by Step Solution

1. Step 1: Write the proportion equation
   95,256 : 206,916 = 206,916 : x
2. Step 2: Convert to fraction form
   95,256/206,916 = 206,916/x
3. Step 3: Cross multiply
   95,256x = 206,916 × 206,916
4. Step 4: Simplify right side
   95,256x = 42,814,231,056
5. Step 5: Solve for x
   x = 42,814,231,056/95,256
6. Step 6: Final answer
   x = 449,464.93