Finding the Third Proportional to 189,189 and 404,082

Step by Step Solution

1. Step 1: Write the proportion equation
   189,189 : 404,082 = 404,082 : x
2. Step 2: Convert to fraction form
   189,189/404,082 = 404,082/x
3. Step 3: Cross multiply
   189,189x = 404,082 × 404,082
4. Step 4: Simplify right side
   189,189x = 163,282,262,724
5. Step 5: Solve for x
   x = 163,282,262,724/189,189
6. Step 6: Final answer
   x = 863,064.25