Finding the Third Proportional to 89,398 and 189,164

Step by Step Solution

1. Step 1: Write the proportion equation
   89,398 : 189,164 = 189,164 : x
2. Step 2: Convert to fraction form
   89,398/189,164 = 189,164/x
3. Step 3: Cross multiply
   89,398x = 189,164 × 189,164
4. Step 4: Simplify right side
   89,398x = 35,783,018,896
5. Step 5: Solve for x
   x = 35,783,018,896/89,398
6. Step 6: Final answer
   x = 400,266.44