Finding the Third Proportional to 95,256 and 208,944

Step by Step Solution

1. Step 1: Write the proportion equation
   95,256 : 208,944 = 208,944 : x
2. Step 2: Convert to fraction form
   95,256/208,944 = 208,944/x
3. Step 3: Cross multiply
   95,256x = 208,944 × 208,944
4. Step 4: Simplify right side
   95,256x = 43,657,595,136
5. Step 5: Solve for x
   x = 43,657,595,136/95,256
6. Step 6: Final answer
   x = 458,318.59