Finding the Third Proportional to 327,321 and 492,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,321 : 492,196.50 = 492,196.50 : x
2. Step 2: Convert to fraction form
   327,321/492,196.50 = 492,196.50/x
3. Step 3: Cross multiply
   327,321x = 492,196.50 × 492,196.50
4. Step 4: Simplify right side
   327,321x = 242,257,394,612.25
5. Step 5: Solve for x
   x = 242,257,394,612.25/327,321
6. Step 6: Final answer
   x = 740,121.76