Finding the Third Proportional to 121,056 and 184,144

Step by Step Solution

1. Step 1: Write the proportion equation
   121,056 : 184,144 = 184,144 : x
2. Step 2: Convert to fraction form
   121,056/184,144 = 184,144/x
3. Step 3: Cross multiply
   121,056x = 184,144 × 184,144
4. Step 4: Simplify right side
   121,056x = 33,909,012,736
5. Step 5: Solve for x
   x = 33,909,012,736/121,056
6. Step 6: Final answer
   x = 280,110.14