Finding the Third Proportional to 89,558 and 188,314

Step by Step Solution

1. Step 1: Write the proportion equation
   89,558 : 188,314 = 188,314 : x
2. Step 2: Convert to fraction form
   89,558/188,314 = 188,314/x
3. Step 3: Cross multiply
   89,558x = 188,314 × 188,314
4. Step 4: Simplify right side
   89,558x = 35,462,162,596
5. Step 5: Solve for x
   x = 35,462,162,596/89,558
6. Step 6: Final answer
   x = 395,968.68