Finding the Third Proportional to 80,509.50 and 189,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,509.50 : 189,435.50 = 189,435.50 : x
2. Step 2: Convert to fraction form
   80,509.50/189,435.50 = 189,435.50/x
3. Step 3: Cross multiply
   80,509.50x = 189,435.50 × 189,435.50
4. Step 4: Simplify right side
   80,509.50x = 35,885,808,660.25
5. Step 5: Solve for x
   x = 35,885,808,660.25/80,509.50
6. Step 6: Final answer
   x = 445,733.84