Finding the Third Proportional to 123,081 and 184,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,081 : 184,411.50 = 184,411.50 : x
2. Step 2: Convert to fraction form
   123,081/184,411.50 = 184,411.50/x
3. Step 3: Cross multiply
   123,081x = 184,411.50 × 184,411.50
4. Step 4: Simplify right side
   123,081x = 34,007,601,332.25
5. Step 5: Solve for x
   x = 34,007,601,332.25/123,081
6. Step 6: Final answer
   x = 276,302.61