Finding the Third Proportional to 80,388.50 and 174,616

Step by Step Solution

1. Step 1: Write the proportion equation
   80,388.50 : 174,616 = 174,616 : x
2. Step 2: Convert to fraction form
   80,388.50/174,616 = 174,616/x
3. Step 3: Cross multiply
   80,388.50x = 174,616 × 174,616
4. Step 4: Simplify right side
   80,388.50x = 30,490,747,456
5. Step 5: Solve for x
   x = 30,490,747,456/80,388.50
6. Step 6: Final answer
   x = 379,292.40