Finding the Third Proportional to 80,291 and 174,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,291 : 174,880.50 = 174,880.50 : x
2. Step 2: Convert to fraction form
   80,291/174,880.50 = 174,880.50/x
3. Step 3: Cross multiply
   80,291x = 174,880.50 × 174,880.50
4. Step 4: Simplify right side
   80,291x = 30,583,189,280.25
5. Step 5: Solve for x
   x = 30,583,189,280.25/80,291
6. Step 6: Final answer
   x = 380,904.33