Finding the Third Proportional to 123,076.50 and 184,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,076.50 : 184,408.50 = 184,408.50 : x
2. Step 2: Convert to fraction form
   123,076.50/184,408.50 = 184,408.50/x
3. Step 3: Cross multiply
   123,076.50x = 184,408.50 × 184,408.50
4. Step 4: Simplify right side
   123,076.50x = 34,006,494,872.25
5. Step 5: Solve for x
   x = 34,006,494,872.25/123,076.50
6. Step 6: Final answer
   x = 276,303.72