Finding the Third Proportional to 89,760 and 189,240

Step by Step Solution

1. Step 1: Write the proportion equation
   89,760 : 189,240 = 189,240 : x
2. Step 2: Convert to fraction form
   89,760/189,240 = 189,240/x
3. Step 3: Cross multiply
   89,760x = 189,240 × 189,240
4. Step 4: Simplify right side
   89,760x = 35,811,777,600
5. Step 5: Solve for x
   x = 35,811,777,600/89,760
6. Step 6: Final answer
   x = 398,972.57