Finding the Third Proportional to 185,949 and 406,458

Step by Step Solution

1. Step 1: Write the proportion equation
   185,949 : 406,458 = 406,458 : x
2. Step 2: Convert to fraction form
   185,949/406,458 = 406,458/x
3. Step 3: Cross multiply
   185,949x = 406,458 × 406,458
4. Step 4: Simplify right side
   185,949x = 165,208,105,764
5. Step 5: Solve for x
   x = 165,208,105,764/185,949
6. Step 6: Final answer
   x = 888,459.23