Finding the Third Proportional to 196,365 and 302,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,365 : 302,266.50 = 302,266.50 : x
2. Step 2: Convert to fraction form
   196,365/302,266.50 = 302,266.50/x
3. Step 3: Cross multiply
   196,365x = 302,266.50 × 302,266.50
4. Step 4: Simplify right side
   196,365x = 91,365,037,022.25
5. Step 5: Solve for x
   x = 91,365,037,022.25/196,365
6. Step 6: Final answer
   x = 465,281.68