Finding the Third Proportional to 89,937 and 192,996

Step by Step Solution

1. Step 1: Write the proportion equation
   89,937 : 192,996 = 192,996 : x
2. Step 2: Convert to fraction form
   89,937/192,996 = 192,996/x
3. Step 3: Cross multiply
   89,937x = 192,996 × 192,996
4. Step 4: Simplify right side
   89,937x = 37,247,456,016
5. Step 5: Solve for x
   x = 37,247,456,016/89,937
6. Step 6: Final answer
   x = 414,150.53