Finding the Third Proportional to 67,822 and 164,082

Step by Step Solution

1. Step 1: Write the proportion equation
   67,822 : 164,082 = 164,082 : x
2. Step 2: Convert to fraction form
   67,822/164,082 = 164,082/x
3. Step 3: Cross multiply
   67,822x = 164,082 × 164,082
4. Step 4: Simplify right side
   67,822x = 26,922,902,724
5. Step 5: Solve for x
   x = 26,922,902,724/67,822
6. Step 6: Final answer
   x = 396,964.15