Finding the Third Proportional to 185,666 and 396,388

Step by Step Solution

1. Step 1: Write the proportion equation
   185,666 : 396,388 = 396,388 : x
2. Step 2: Convert to fraction form
   185,666/396,388 = 396,388/x
3. Step 3: Cross multiply
   185,666x = 396,388 × 396,388
4. Step 4: Simplify right side
   185,666x = 157,123,446,544
5. Step 5: Solve for x
   x = 157,123,446,544/185,666
6. Step 6: Final answer
   x = 846,269.36