Finding the Third Proportional to 80,489 and 174,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,489 : 174,861.50 = 174,861.50 : x
2. Step 2: Convert to fraction form
   80,489/174,861.50 = 174,861.50/x
3. Step 3: Cross multiply
   80,489x = 174,861.50 × 174,861.50
4. Step 4: Simplify right side
   80,489x = 30,576,544,182.25
5. Step 5: Solve for x
   x = 30,576,544,182.25/80,489
6. Step 6: Final answer
   x = 379,884.76