Finding the Third Proportional to 123,081.75 and 184,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,081.75 : 184,414.50 = 184,414.50 : x
2. Step 2: Convert to fraction form
   123,081.75/184,414.50 = 184,414.50/x
3. Step 3: Cross multiply
   123,081.75x = 184,414.50 × 184,414.50
4. Step 4: Simplify right side
   123,081.75x = 34,008,707,810.25
5. Step 5: Solve for x
   x = 34,008,707,810.25/123,081.75
6. Step 6: Final answer
   x = 276,309.91