Finding the Third Proportional to 327,301.50 and 507,978

Step by Step Solution

1. Step 1: Write the proportion equation
   327,301.50 : 507,978 = 507,978 : x
2. Step 2: Convert to fraction form
   327,301.50/507,978 = 507,978/x
3. Step 3: Cross multiply
   327,301.50x = 507,978 × 507,978
4. Step 4: Simplify right side
   327,301.50x = 258,041,648,484
5. Step 5: Solve for x
   x = 258,041,648,484/327,301.50
6. Step 6: Final answer
   x = 788,391.28