Finding the Third Proportional to 280,623 and 379,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,623 : 379,243.50 = 379,243.50 : x
2. Step 2: Convert to fraction form
   280,623/379,243.50 = 379,243.50/x
3. Step 3: Cross multiply
   280,623x = 379,243.50 × 379,243.50
4. Step 4: Simplify right side
   280,623x = 143,825,632,292.25
5. Step 5: Solve for x
   x = 143,825,632,292.25/280,623
6. Step 6: Final answer
   x = 512,522.61