Finding the Third Proportional to 264,435 and 397,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,435 : 397,228.50 = 397,228.50 : x
2. Step 2: Convert to fraction form
   264,435/397,228.50 = 397,228.50/x
3. Step 3: Cross multiply
   264,435x = 397,228.50 × 397,228.50
4. Step 4: Simplify right side
   264,435x = 157,790,481,212.25
5. Step 5: Solve for x
   x = 157,790,481,212.25/264,435
6. Step 6: Final answer
   x = 596,708.00