Finding the Third Proportional to 80,678 and 174,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,678 : 174,964.50 = 174,964.50 : x
2. Step 2: Convert to fraction form
   80,678/174,964.50 = 174,964.50/x
3. Step 3: Cross multiply
   80,678x = 174,964.50 × 174,964.50
4. Step 4: Simplify right side
   80,678x = 30,612,576,260.25
5. Step 5: Solve for x
   x = 30,612,576,260.25/80,678
6. Step 6: Final answer
   x = 379,441.44