Finding the Third Proportional to 89,598 and 188,390

Step by Step Solution

1. Step 1: Write the proportion equation
   89,598 : 188,390 = 188,390 : x
2. Step 2: Convert to fraction form
   89,598/188,390 = 188,390/x
3. Step 3: Cross multiply
   89,598x = 188,390 × 188,390
4. Step 4: Simplify right side
   89,598x = 35,490,792,100
5. Step 5: Solve for x
   x = 35,490,792,100/89,598
6. Step 6: Final answer
   x = 396,111.43