Finding the Third Proportional to 188,409 and 404,115

Step by Step Solution

1. Step 1: Write the proportion equation
   188,409 : 404,115 = 404,115 : x
2. Step 2: Convert to fraction form
   188,409/404,115 = 404,115/x
3. Step 3: Cross multiply
   188,409x = 404,115 × 404,115
4. Step 4: Simplify right side
   188,409x = 163,308,933,225
5. Step 5: Solve for x
   x = 163,308,933,225/188,409
6. Step 6: Final answer
   x = 866,778.83