Finding the Third Proportional to 89,517 and 188,250

Step by Step Solution

1. Step 1: Write the proportion equation
   89,517 : 188,250 = 188,250 : x
2. Step 2: Convert to fraction form
   89,517/188,250 = 188,250/x
3. Step 3: Cross multiply
   89,517x = 188,250 × 188,250
4. Step 4: Simplify right side
   89,517x = 35,438,062,500
5. Step 5: Solve for x
   x = 35,438,062,500/89,517
6. Step 6: Final answer
   x = 395,880.81