Finding the Third Proportional to 185,684 and 396,422

Step by Step Solution

1. Step 1: Write the proportion equation
   185,684 : 396,422 = 396,422 : x
2. Step 2: Convert to fraction form
   185,684/396,422 = 396,422/x
3. Step 3: Cross multiply
   185,684x = 396,422 × 396,422
4. Step 4: Simplify right side
   185,684x = 157,150,402,084
5. Step 5: Solve for x
   x = 157,150,402,084/185,684
6. Step 6: Final answer
   x = 846,332.49