Finding the Third Proportional to 185,648 and 298,920

Step by Step Solution

1. Step 1: Write the proportion equation
   185,648 : 298,920 = 298,920 : x
2. Step 2: Convert to fraction form
   185,648/298,920 = 298,920/x
3. Step 3: Cross multiply
   185,648x = 298,920 × 298,920
4. Step 4: Simplify right side
   185,648x = 89,353,166,400
5. Step 5: Solve for x
   x = 89,353,166,400/185,648
6. Step 6: Final answer
   x = 481,304.22