Finding the Third Proportional to 326,271 and 459,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,271 : 459,469.50 = 459,469.50 : x
2. Step 2: Convert to fraction form
   326,271/459,469.50 = 459,469.50/x
3. Step 3: Cross multiply
   326,271x = 459,469.50 × 459,469.50
4. Step 4: Simplify right side
   326,271x = 211,112,221,430.25
5. Step 5: Solve for x
   x = 211,112,221,430.25/326,271
6. Step 6: Final answer
   x = 647,045.62