Finding the Third Proportional to 80,826.56 and 175,643.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,826.56 : 175,643.25 = 175,643.25 : x
2. Step 2: Convert to fraction form
   80,826.56/175,643.25 = 175,643.25/x
3. Step 3: Cross multiply
   80,826.56x = 175,643.25 × 175,643.25
4. Step 4: Simplify right side
   80,826.56x = 30,850,551,270.56
5. Step 5: Solve for x
   x = 30,850,551,270.56/80,826.56
6. Step 6: Final answer
   x = 381,688.28