Finding the Third Proportional to 80,371.50 and 174,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,371.50 : 174,583.50 = 174,583.50 : x
2. Step 2: Convert to fraction form
   80,371.50/174,583.50 = 174,583.50/x
3. Step 3: Cross multiply
   80,371.50x = 174,583.50 × 174,583.50
4. Step 4: Simplify right side
   80,371.50x = 30,479,398,472.25
5. Step 5: Solve for x
   x = 30,479,398,472.25/80,371.50
6. Step 6: Final answer
   x = 379,231.42