Finding the Third Proportional to 196,800 and 313,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,800 : 313,300.50 = 313,300.50 : x
2. Step 2: Convert to fraction form
   196,800/313,300.50 = 313,300.50/x
3. Step 3: Cross multiply
   196,800x = 313,300.50 × 313,300.50
4. Step 4: Simplify right side
   196,800x = 98,157,203,300.25
5. Step 5: Solve for x
   x = 98,157,203,300.25/196,800
6. Step 6: Final answer
   x = 498,766.28