Finding the Third Proportional to 92,144 and 198,456

Step by Step Solution

1. Step 1: Write the proportion equation
   92,144 : 198,456 = 198,456 : x
2. Step 2: Convert to fraction form
   92,144/198,456 = 198,456/x
3. Step 3: Cross multiply
   92,144x = 198,456 × 198,456
4. Step 4: Simplify right side
   92,144x = 39,384,783,936
5. Step 5: Solve for x
   x = 39,384,783,936/92,144
6. Step 6: Final answer
   x = 427,426.46