Finding the Third Proportional to 71,696 and 161,892

Step by Step Solution

1. Step 1: Write the proportion equation
   71,696 : 161,892 = 161,892 : x
2. Step 2: Convert to fraction form
   71,696/161,892 = 161,892/x
3. Step 3: Cross multiply
   71,696x = 161,892 × 161,892
4. Step 4: Simplify right side
   71,696x = 26,209,019,664
5. Step 5: Solve for x
   x = 26,209,019,664/71,696
6. Step 6: Final answer
   x = 365,557.63