Finding the Third Proportional to 89,792 and 193,456

Step by Step Solution

1. Step 1: Write the proportion equation
   89,792 : 193,456 = 193,456 : x
2. Step 2: Convert to fraction form
   89,792/193,456 = 193,456/x
3. Step 3: Cross multiply
   89,792x = 193,456 × 193,456
4. Step 4: Simplify right side
   89,792x = 37,425,223,936
5. Step 5: Solve for x
   x = 37,425,223,936/89,792
6. Step 6: Final answer
   x = 416,799.09