Finding the Third Proportional to 94,096 and 195,936

Step by Step Solution

1. Step 1: Write the proportion equation
   94,096 : 195,936 = 195,936 : x
2. Step 2: Convert to fraction form
   94,096/195,936 = 195,936/x
3. Step 3: Cross multiply
   94,096x = 195,936 × 195,936
4. Step 4: Simplify right side
   94,096x = 38,390,916,096
5. Step 5: Solve for x
   x = 38,390,916,096/94,096
6. Step 6: Final answer
   x = 407,997.32