Finding the Third Proportional to 80,601.75 and 189,587.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,601.75 : 189,587.25 = 189,587.25 : x
2. Step 2: Convert to fraction form
   80,601.75/189,587.25 = 189,587.25/x
3. Step 3: Cross multiply
   80,601.75x = 189,587.25 × 189,587.25
4. Step 4: Simplify right side
   80,601.75x = 35,943,325,362.56
5. Step 5: Solve for x
   x = 35,943,325,362.56/80,601.75
6. Step 6: Final answer
   x = 445,937.28