Finding the Third Proportional to 150,401.25 and 321,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,401.25 : 321,103.50 = 321,103.50 : x
2. Step 2: Convert to fraction form
   150,401.25/321,103.50 = 321,103.50/x
3. Step 3: Cross multiply
   150,401.25x = 321,103.50 × 321,103.50
4. Step 4: Simplify right side
   150,401.25x = 103,107,457,712.25
5. Step 5: Solve for x
   x = 103,107,457,712.25/150,401.25
6. Step 6: Final answer
   x = 685,549.21