Finding the Third Proportional to 161,870 and 378,082

Step by Step Solution

1. Step 1: Write the proportion equation
   161,870 : 378,082 = 378,082 : x
2. Step 2: Convert to fraction form
   161,870/378,082 = 378,082/x
3. Step 3: Cross multiply
   161,870x = 378,082 × 378,082
4. Step 4: Simplify right side
   161,870x = 142,945,998,724
5. Step 5: Solve for x
   x = 142,945,998,724/161,870
6. Step 6: Final answer
   x = 883,091.36