Finding the Third Proportional to 123,462 and 184,380

Step by Step Solution

1. Step 1: Write the proportion equation
   123,462 : 184,380 = 184,380 : x
2. Step 2: Convert to fraction form
   123,462/184,380 = 184,380/x
3. Step 3: Cross multiply
   123,462x = 184,380 × 184,380
4. Step 4: Simplify right side
   123,462x = 33,995,984,400
5. Step 5: Solve for x
   x = 33,995,984,400/123,462
6. Step 6: Final answer
   x = 275,355.85