Finding the Third Proportional to 89,928 and 189,108

Step by Step Solution

1. Step 1: Write the proportion equation
   89,928 : 189,108 = 189,108 : x
2. Step 2: Convert to fraction form
   89,928/189,108 = 189,108/x
3. Step 3: Cross multiply
   89,928x = 189,108 × 189,108
4. Step 4: Simplify right side
   89,928x = 35,761,835,664
5. Step 5: Solve for x
   x = 35,761,835,664/89,928
6. Step 6: Final answer
   x = 397,671.87