Finding the Third Proportional to 92,158 and 188,204

Step by Step Solution

1. Step 1: Write the proportion equation
   92,158 : 188,204 = 188,204 : x
2. Step 2: Convert to fraction form
   92,158/188,204 = 188,204/x
3. Step 3: Cross multiply
   92,158x = 188,204 × 188,204
4. Step 4: Simplify right side
   92,158x = 35,420,745,616
5. Step 5: Solve for x
   x = 35,420,745,616/92,158
6. Step 6: Final answer
   x = 384,348.03