Finding the Third Proportional to 89,665 and 189,314

Step by Step Solution

1. Step 1: Write the proportion equation
   89,665 : 189,314 = 189,314 : x
2. Step 2: Convert to fraction form
   89,665/189,314 = 189,314/x
3. Step 3: Cross multiply
   89,665x = 189,314 × 189,314
4. Step 4: Simplify right side
   89,665x = 35,839,790,596
5. Step 5: Solve for x
   x = 35,839,790,596/89,665
6. Step 6: Final answer
   x = 399,707.70