Finding the Third Proportional to 327,314.25 and 507,996

Step by Step Solution

1. Step 1: Write the proportion equation
   327,314.25 : 507,996 = 507,996 : x
2. Step 2: Convert to fraction form
   327,314.25/507,996 = 507,996/x
3. Step 3: Cross multiply
   327,314.25x = 507,996 × 507,996
4. Step 4: Simplify right side
   327,314.25x = 258,059,936,016
5. Step 5: Solve for x
   x = 258,059,936,016/327,314.25
6. Step 6: Final answer
   x = 788,416.44