Finding the Third Proportional to 80,309.25 and 174,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,309.25 : 174,928.50 = 174,928.50 : x
2. Step 2: Convert to fraction form
   80,309.25/174,928.50 = 174,928.50/x
3. Step 3: Cross multiply
   80,309.25x = 174,928.50 × 174,928.50
4. Step 4: Simplify right side
   80,309.25x = 30,599,980,112.25
5. Step 5: Solve for x
   x = 30,599,980,112.25/80,309.25
6. Step 6: Final answer
   x = 381,026.84