Finding the Third Proportional to 189,191 and 404,086

Step by Step Solution

1. Step 1: Write the proportion equation
   189,191 : 404,086 = 404,086 : x
2. Step 2: Convert to fraction form
   189,191/404,086 = 404,086/x
3. Step 3: Cross multiply
   189,191x = 404,086 × 404,086
4. Step 4: Simplify right side
   189,191x = 163,285,495,396
5. Step 5: Solve for x
   x = 163,285,495,396/189,191
6. Step 6: Final answer
   x = 863,072.21