Finding the Third Proportional to 210,204 and 323,082

Step by Step Solution

1. Step 1: Write the proportion equation
   210,204 : 323,082 = 323,082 : x
2. Step 2: Convert to fraction form
   210,204/323,082 = 323,082/x
3. Step 3: Cross multiply
   210,204x = 323,082 × 323,082
4. Step 4: Simplify right side
   210,204x = 104,381,978,724
5. Step 5: Solve for x
   x = 104,381,978,724/210,204
6. Step 6: Final answer
   x = 496,574.65