Finding the Third Proportional to 196,992 and 300,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,992 : 300,409.50 = 300,409.50 : x
2. Step 2: Convert to fraction form
   196,992/300,409.50 = 300,409.50/x
3. Step 3: Cross multiply
   196,992x = 300,409.50 × 300,409.50
4. Step 4: Simplify right side
   196,992x = 90,245,867,690.25
5. Step 5: Solve for x
   x = 90,245,867,690.25/196,992
6. Step 6: Final answer
   x = 458,119.46