Finding the Third Proportional to 196,264 and 311,280

Step by Step Solution

1. Step 1: Write the proportion equation
   196,264 : 311,280 = 311,280 : x
2. Step 2: Convert to fraction form
   196,264/311,280 = 311,280/x
3. Step 3: Cross multiply
   196,264x = 311,280 × 311,280
4. Step 4: Simplify right side
   196,264x = 96,895,238,400
5. Step 5: Solve for x
   x = 96,895,238,400/196,264
6. Step 6: Final answer
   x = 493,698.48