Finding the Third Proportional to 185,580 and 397,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   185,580 : 397,401.75 = 397,401.75 : x
2. Step 2: Convert to fraction form
   185,580/397,401.75 = 397,401.75/x
3. Step 3: Cross multiply
   185,580x = 397,401.75 × 397,401.75
4. Step 4: Simplify right side
   185,580x = 157,928,150,903.06
5. Step 5: Solve for x
   x = 157,928,150,903.06/185,580
6. Step 6: Final answer
   x = 850,997.69