Finding the Third Proportional to 78,105 and 184,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,105 : 184,183.50 = 184,183.50 : x
2. Step 2: Convert to fraction form
   78,105/184,183.50 = 184,183.50/x
3. Step 3: Cross multiply
   78,105x = 184,183.50 × 184,183.50
4. Step 4: Simplify right side
   78,105x = 33,923,561,672.25
5. Step 5: Solve for x
   x = 33,923,561,672.25/78,105
6. Step 6: Final answer
   x = 434,332.78