Finding the Third Proportional to 123,144.75 and 184,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,144.75 : 184,443.75 = 184,443.75 : x
2. Step 2: Convert to fraction form
   123,144.75/184,443.75 = 184,443.75/x
3. Step 3: Cross multiply
   123,144.75x = 184,443.75 × 184,443.75
4. Step 4: Simplify right side
   123,144.75x = 34,019,496,914.06
5. Step 5: Solve for x
   x = 34,019,496,914.06/123,144.75
6. Step 6: Final answer
   x = 276,256.17