Finding the Third Proportional to 89,824 and 184,832

Step by Step Solution

1. Step 1: Write the proportion equation
   89,824 : 184,832 = 184,832 : x
2. Step 2: Convert to fraction form
   89,824/184,832 = 184,832/x
3. Step 3: Cross multiply
   89,824x = 184,832 × 184,832
4. Step 4: Simplify right side
   89,824x = 34,162,868,224
5. Step 5: Solve for x
   x = 34,162,868,224/89,824
6. Step 6: Final answer
   x = 380,331.18