Finding the Third Proportional to 89,382 and 189,132

Step by Step Solution

1. Step 1: Write the proportion equation
   89,382 : 189,132 = 189,132 : x
2. Step 2: Convert to fraction form
   89,382/189,132 = 189,132/x
3. Step 3: Cross multiply
   89,382x = 189,132 × 189,132
4. Step 4: Simplify right side
   89,382x = 35,770,913,424
5. Step 5: Solve for x
   x = 35,770,913,424/89,382
6. Step 6: Final answer
   x = 400,202.65