Finding the Third Proportional to 327,315.50 and 507,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,315.50 : 507,997.50 = 507,997.50 : x
2. Step 2: Convert to fraction form
   327,315.50/507,997.50 = 507,997.50/x
3. Step 3: Cross multiply
   327,315.50x = 507,997.50 × 507,997.50
4. Step 4: Simplify right side
   327,315.50x = 258,061,460,006.25
5. Step 5: Solve for x
   x = 258,061,460,006.25/327,315.50
6. Step 6: Final answer
   x = 788,418.09