Finding the Third Proportional to 123,333 and 184,505

Step by Step Solution

1. Step 1: Write the proportion equation
   123,333 : 184,505 = 184,505 : x
2. Step 2: Convert to fraction form
   123,333/184,505 = 184,505/x
3. Step 3: Cross multiply
   123,333x = 184,505 × 184,505
4. Step 4: Simplify right side
   123,333x = 34,042,095,025
5. Step 5: Solve for x
   x = 34,042,095,025/123,333
6. Step 6: Final answer
   x = 276,017.73