Finding the Third Proportional to 89,558 and 188,306

Step by Step Solution

1. Step 1: Write the proportion equation
   89,558 : 188,306 = 188,306 : x
2. Step 2: Convert to fraction form
   89,558/188,306 = 188,306/x
3. Step 3: Cross multiply
   89,558x = 188,306 × 188,306
4. Step 4: Simplify right side
   89,558x = 35,459,149,636
5. Step 5: Solve for x
   x = 35,459,149,636/89,558
6. Step 6: Final answer
   x = 395,935.03