Finding the Third Proportional to 327,138 and 492,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,138 : 492,346.50 = 492,346.50 : x
2. Step 2: Convert to fraction form
   327,138/492,346.50 = 492,346.50/x
3. Step 3: Cross multiply
   327,138x = 492,346.50 × 492,346.50
4. Step 4: Simplify right side
   327,138x = 242,405,076,062.25
5. Step 5: Solve for x
   x = 242,405,076,062.25/327,138
6. Step 6: Final answer
   x = 740,987.22