Finding the Third Proportional to 184,369.50 and 280,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,369.50 : 280,399.50 = 280,399.50 : x
2. Step 2: Convert to fraction form
   184,369.50/280,399.50 = 280,399.50/x
3. Step 3: Cross multiply
   184,369.50x = 280,399.50 × 280,399.50
4. Step 4: Simplify right side
   184,369.50x = 78,623,879,600.25
5. Step 5: Solve for x
   x = 78,623,879,600.25/184,369.50
6. Step 6: Final answer
   x = 426,447.32