Finding the Third Proportional to 324,435.50 and 433,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   324,435.50 : 433,980.50 = 433,980.50 : x
2. Step 2: Convert to fraction form
   324,435.50/433,980.50 = 433,980.50/x
3. Step 3: Cross multiply
   324,435.50x = 433,980.50 × 433,980.50
4. Step 4: Simplify right side
   324,435.50x = 188,339,074,380.25
5. Step 5: Solve for x
   x = 188,339,074,380.25/324,435.50
6. Step 6: Final answer
   x = 580,513.15