Finding the Third Proportional to 327,300.50 and 507,977

Step by Step Solution

1. Step 1: Write the proportion equation
   327,300.50 : 507,977 = 507,977 : x
2. Step 2: Convert to fraction form
   327,300.50/507,977 = 507,977/x
3. Step 3: Cross multiply
   327,300.50x = 507,977 × 507,977
4. Step 4: Simplify right side
   327,300.50x = 258,040,632,529
5. Step 5: Solve for x
   x = 258,040,632,529/327,300.50
6. Step 6: Final answer
   x = 788,390.58