Finding the Third Proportional to 186,200 and 398,648

Step by Step Solution

1. Step 1: Write the proportion equation
   186,200 : 398,648 = 398,648 : x
2. Step 2: Convert to fraction form
   186,200/398,648 = 398,648/x
3. Step 3: Cross multiply
   186,200x = 398,648 × 398,648
4. Step 4: Simplify right side
   186,200x = 158,920,227,904
5. Step 5: Solve for x
   x = 158,920,227,904/186,200
6. Step 6: Final answer
   x = 853,492.09