Finding the Third Proportional to 327,365 and 510,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,365 : 510,944.50 = 510,944.50 : x
2. Step 2: Convert to fraction form
   327,365/510,944.50 = 510,944.50/x
3. Step 3: Cross multiply
   327,365x = 510,944.50 × 510,944.50
4. Step 4: Simplify right side
   327,365x = 261,064,282,080.25
5. Step 5: Solve for x
   x = 261,064,282,080.25/327,365
6. Step 6: Final answer
   x = 797,471.57