Finding the Third Proportional to 326,300 and 459,511

Step by Step Solution

1. Step 1: Write the proportion equation
   326,300 : 459,511 = 459,511 : x
2. Step 2: Convert to fraction form
   326,300/459,511 = 459,511/x
3. Step 3: Cross multiply
   326,300x = 459,511 × 459,511
4. Step 4: Simplify right side
   326,300x = 211,150,359,121
5. Step 5: Solve for x
   x = 211,150,359,121/326,300
6. Step 6: Final answer
   x = 647,104.99