Finding the Third Proportional to 122,628 and 184,662

Step by Step Solution

1. Step 1: Write the proportion equation
   122,628 : 184,662 = 184,662 : x
2. Step 2: Convert to fraction form
   122,628/184,662 = 184,662/x
3. Step 3: Cross multiply
   122,628x = 184,662 × 184,662
4. Step 4: Simplify right side
   122,628x = 34,100,054,244
5. Step 5: Solve for x
   x = 34,100,054,244/122,628
6. Step 6: Final answer
   x = 278,077.23