Finding the Third Proportional to 89,746 and 188,792

Step by Step Solution

1. Step 1: Write the proportion equation
   89,746 : 188,792 = 188,792 : x
2. Step 2: Convert to fraction form
   89,746/188,792 = 188,792/x
3. Step 3: Cross multiply
   89,746x = 188,792 × 188,792
4. Step 4: Simplify right side
   89,746x = 35,642,419,264
5. Step 5: Solve for x
   x = 35,642,419,264/89,746
6. Step 6: Final answer
   x = 397,147.72