Finding the Third Proportional to 120,401.50 and 263,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,401.50 : 263,640.50 = 263,640.50 : x
2. Step 2: Convert to fraction form
   120,401.50/263,640.50 = 263,640.50/x
3. Step 3: Cross multiply
   120,401.50x = 263,640.50 × 263,640.50
4. Step 4: Simplify right side
   120,401.50x = 69,506,313,240.25
5. Step 5: Solve for x
   x = 69,506,313,240.25/120,401.50
6. Step 6: Final answer
   x = 577,287.77