Finding the Third Proportional to 327,978 and 492,978

Step by Step Solution

1. Step 1: Write the proportion equation
   327,978 : 492,978 = 492,978 : x
2. Step 2: Convert to fraction form
   327,978/492,978 = 492,978/x
3. Step 3: Cross multiply
   327,978x = 492,978 × 492,978
4. Step 4: Simplify right side
   327,978x = 243,027,308,484
5. Step 5: Solve for x
   x = 243,027,308,484/327,978
6. Step 6: Final answer
   x = 740,986.62