Finding the Third Proportional to 80,935 and 189,041

Step by Step Solution

1. Step 1: Write the proportion equation
   80,935 : 189,041 = 189,041 : x
2. Step 2: Convert to fraction form
   80,935/189,041 = 189,041/x
3. Step 3: Cross multiply
   80,935x = 189,041 × 189,041
4. Step 4: Simplify right side
   80,935x = 35,736,499,681
5. Step 5: Solve for x
   x = 35,736,499,681/80,935
6. Step 6: Final answer
   x = 441,545.68