Finding the Third Proportional to 123,469 and 184,471

Step by Step Solution

1. Step 1: Write the proportion equation
   123,469 : 184,471 = 184,471 : x
2. Step 2: Convert to fraction form
   123,469/184,471 = 184,471/x
3. Step 3: Cross multiply
   123,469x = 184,471 × 184,471
4. Step 4: Simplify right side
   123,469x = 34,029,549,841
5. Step 5: Solve for x
   x = 34,029,549,841/123,469
6. Step 6: Final answer
   x = 275,612.10