Finding the Third Proportional to 327,636 and 494,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   327,636 : 494,462.25 = 494,462.25 : x
2. Step 2: Convert to fraction form
   327,636/494,462.25 = 494,462.25/x
3. Step 3: Cross multiply
   327,636x = 494,462.25 × 494,462.25
4. Step 4: Simplify right side
   327,636x = 244,492,916,675.06
5. Step 5: Solve for x
   x = 244,492,916,675.06/327,636
6. Step 6: Final answer
   x = 746,233.37