Finding the Third Proportional to 196,320 and 311,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,320 : 311,368.50 = 311,368.50 : x
2. Step 2: Convert to fraction form
   196,320/311,368.50 = 311,368.50/x
3. Step 3: Cross multiply
   196,320x = 311,368.50 × 311,368.50
4. Step 4: Simplify right side
   196,320x = 96,950,342,792.25
5. Step 5: Solve for x
   x = 96,950,342,792.25/196,320
6. Step 6: Final answer
   x = 493,838.34