Finding the Third Proportional to 89,420 and 192,892

Step by Step Solution

1. Step 1: Write the proportion equation
   89,420 : 192,892 = 192,892 : x
2. Step 2: Convert to fraction form
   89,420/192,892 = 192,892/x
3. Step 3: Cross multiply
   89,420x = 192,892 × 192,892
4. Step 4: Simplify right side
   89,420x = 37,207,323,664
5. Step 5: Solve for x
   x = 37,207,323,664/89,420
6. Step 6: Final answer
   x = 416,096.22