Finding the Third Proportional to 80,589.50 and 189,566

Step by Step Solution

1. Step 1: Write the proportion equation
   80,589.50 : 189,566 = 189,566 : x
2. Step 2: Convert to fraction form
   80,589.50/189,566 = 189,566/x
3. Step 3: Cross multiply
   80,589.50x = 189,566 × 189,566
4. Step 4: Simplify right side
   80,589.50x = 35,935,268,356
5. Step 5: Solve for x
   x = 35,935,268,356/80,589.50
6. Step 6: Final answer
   x = 445,905.09