Finding the Third Proportional to 90,409 and 189,080

Step by Step Solution

1. Step 1: Write the proportion equation
   90,409 : 189,080 = 189,080 : x
2. Step 2: Convert to fraction form
   90,409/189,080 = 189,080/x
3. Step 3: Cross multiply
   90,409x = 189,080 × 189,080
4. Step 4: Simplify right side
   90,409x = 35,751,246,400
5. Step 5: Solve for x
   x = 35,751,246,400/90,409
6. Step 6: Final answer
   x = 395,439.02