Finding the Third Proportional to 89,820 and 184,824

Step by Step Solution

1. Step 1: Write the proportion equation
   89,820 : 184,824 = 184,824 : x
2. Step 2: Convert to fraction form
   89,820/184,824 = 184,824/x
3. Step 3: Cross multiply
   89,820x = 184,824 × 184,824
4. Step 4: Simplify right side
   89,820x = 34,159,910,976
5. Step 5: Solve for x
   x = 34,159,910,976/89,820
6. Step 6: Final answer
   x = 380,315.20