Finding the Third Proportional to 80,459.50 and 174,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,459.50 : 174,926.50 = 174,926.50 : x
2. Step 2: Convert to fraction form
   80,459.50/174,926.50 = 174,926.50/x
3. Step 3: Cross multiply
   80,459.50x = 174,926.50 × 174,926.50
4. Step 4: Simplify right side
   80,459.50x = 30,599,280,402.25
5. Step 5: Solve for x
   x = 30,599,280,402.25/80,459.50
6. Step 6: Final answer
   x = 380,306.62