Finding the Third Proportional to 80,545 and 189,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,545 : 189,506.50 = 189,506.50 : x
2. Step 2: Convert to fraction form
   80,545/189,506.50 = 189,506.50/x
3. Step 3: Cross multiply
   80,545x = 189,506.50 × 189,506.50
4. Step 4: Simplify right side
   80,545x = 35,912,713,542.25
5. Step 5: Solve for x
   x = 35,912,713,542.25/80,545
6. Step 6: Final answer
   x = 445,871.42