Finding the Third Proportional to 184,944 and 279,360

Step by Step Solution

1. Step 1: Write the proportion equation
   184,944 : 279,360 = 279,360 : x
2. Step 2: Convert to fraction form
   184,944/279,360 = 279,360/x
3. Step 3: Cross multiply
   184,944x = 279,360 × 279,360
4. Step 4: Simplify right side
   184,944x = 78,042,009,600
5. Step 5: Solve for x
   x = 78,042,009,600/184,944
6. Step 6: Final answer
   x = 421,976.43