Finding the Third Proportional to 123,474 and 184,480

Step by Step Solution

1. Step 1: Write the proportion equation
   123,474 : 184,480 = 184,480 : x
2. Step 2: Convert to fraction form
   123,474/184,480 = 184,480/x
3. Step 3: Cross multiply
   123,474x = 184,480 × 184,480
4. Step 4: Simplify right side
   123,474x = 34,032,870,400
5. Step 5: Solve for x
   x = 34,032,870,400/123,474
6. Step 6: Final answer
   x = 275,627.83