Finding the Third Proportional to 89,774 and 189,016

Step by Step Solution

1. Step 1: Write the proportion equation
   89,774 : 189,016 = 189,016 : x
2. Step 2: Convert to fraction form
   89,774/189,016 = 189,016/x
3. Step 3: Cross multiply
   89,774x = 189,016 × 189,016
4. Step 4: Simplify right side
   89,774x = 35,727,048,256
5. Step 5: Solve for x
   x = 35,727,048,256/89,774
6. Step 6: Final answer
   x = 397,966.54