Finding the Third Proportional to 196,541 and 311,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,541 : 311,715.50 = 311,715.50 : x
2. Step 2: Convert to fraction form
   196,541/311,715.50 = 311,715.50/x
3. Step 3: Cross multiply
   196,541x = 311,715.50 × 311,715.50
4. Step 4: Simplify right side
   196,541x = 97,166,552,940.25
5. Step 5: Solve for x
   x = 97,166,552,940.25/196,541
6. Step 6: Final answer
   x = 494,383.12