Finding the Third Proportional to 86,492 and 184,144

Step by Step Solution

1. Step 1: Write the proportion equation
   86,492 : 184,144 = 184,144 : x
2. Step 2: Convert to fraction form
   86,492/184,144 = 184,144/x
3. Step 3: Cross multiply
   86,492x = 184,144 × 184,144
4. Step 4: Simplify right side
   86,492x = 33,909,012,736
5. Step 5: Solve for x
   x = 33,909,012,736/86,492
6. Step 6: Final answer
   x = 392,047.97