Finding the Third Proportional to 327,300.25 and 507,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,300.25 : 507,976.50 = 507,976.50 : x
2. Step 2: Convert to fraction form
   327,300.25/507,976.50 = 507,976.50/x
3. Step 3: Cross multiply
   327,300.25x = 507,976.50 × 507,976.50
4. Step 4: Simplify right side
   327,300.25x = 258,040,124,552.25
5. Step 5: Solve for x
   x = 258,040,124,552.25/327,300.25
6. Step 6: Final answer
   x = 788,389.63