Finding the Third Proportional to 326,299.50 and 459,510

Step by Step Solution

1. Step 1: Write the proportion equation
   326,299.50 : 459,510 = 459,510 : x
2. Step 2: Convert to fraction form
   326,299.50/459,510 = 459,510/x
3. Step 3: Cross multiply
   326,299.50x = 459,510 × 459,510
4. Step 4: Simplify right side
   326,299.50x = 211,149,440,100
5. Step 5: Solve for x
   x = 211,149,440,100/326,299.50
6. Step 6: Final answer
   x = 647,103.17