Finding the Third Proportional to 327,456 and 520,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,456 : 520,708.50 = 520,708.50 : x
2. Step 2: Convert to fraction form
   327,456/520,708.50 = 520,708.50/x
3. Step 3: Cross multiply
   327,456x = 520,708.50 × 520,708.50
4. Step 4: Simplify right side
   327,456x = 271,137,341,972.25
5. Step 5: Solve for x
   x = 271,137,341,972.25/327,456
6. Step 6: Final answer
   x = 828,011.53