Finding the Third Proportional to 327,462 and 520,717.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,462 : 520,717.50 = 520,717.50 : x
2. Step 2: Convert to fraction form
   327,462/520,717.50 = 520,717.50/x
3. Step 3: Cross multiply
   327,462x = 520,717.50 × 520,717.50
4. Step 4: Simplify right side
   327,462x = 271,146,714,806.25
5. Step 5: Solve for x
   x = 271,146,714,806.25/327,462
6. Step 6: Final answer
   x = 828,024.98