Finding the Third Proportional to 185,193 and 399,978

Step by Step Solution

1. Step 1: Write the proportion equation
   185,193 : 399,978 = 399,978 : x
2. Step 2: Convert to fraction form
   185,193/399,978 = 399,978/x
3. Step 3: Cross multiply
   185,193x = 399,978 × 399,978
4. Step 4: Simplify right side
   185,193x = 159,982,400,484
5. Step 5: Solve for x
   x = 159,982,400,484/185,193
6. Step 6: Final answer
   x = 863,868.51