Finding the Third Proportional to 327,510 and 520,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,510 : 520,789.50 = 520,789.50 : x
2. Step 2: Convert to fraction form
   327,510/520,789.50 = 520,789.50/x
3. Step 3: Cross multiply
   327,510x = 520,789.50 × 520,789.50
4. Step 4: Simplify right side
   327,510x = 271,221,703,310.25
5. Step 5: Solve for x
   x = 271,221,703,310.25/327,510
6. Step 6: Final answer
   x = 828,132.59