Finding the Third Proportional to 80,290.50 and 174,880

Step by Step Solution

1. Step 1: Write the proportion equation
   80,290.50 : 174,880 = 174,880 : x
2. Step 2: Convert to fraction form
   80,290.50/174,880 = 174,880/x
3. Step 3: Cross multiply
   80,290.50x = 174,880 × 174,880
4. Step 4: Simplify right side
   80,290.50x = 30,583,014,400
5. Step 5: Solve for x
   x = 30,583,014,400/80,290.50
6. Step 6: Final answer
   x = 380,904.52