Finding the Third Proportional to 89,072 and 188,144

Step by Step Solution

1. Step 1: Write the proportion equation
   89,072 : 188,144 = 188,144 : x
2. Step 2: Convert to fraction form
   89,072/188,144 = 188,144/x
3. Step 3: Cross multiply
   89,072x = 188,144 × 188,144
4. Step 4: Simplify right side
   89,072x = 35,398,164,736
5. Step 5: Solve for x
   x = 35,398,164,736/89,072
6. Step 6: Final answer
   x = 397,410.69