Finding the Third Proportional to 89,424 and 184,464

Step by Step Solution

1. Step 1: Write the proportion equation
   89,424 : 184,464 = 184,464 : x
2. Step 2: Convert to fraction form
   89,424/184,464 = 184,464/x
3. Step 3: Cross multiply
   89,424x = 184,464 × 184,464
4. Step 4: Simplify right side
   89,424x = 34,026,967,296
5. Step 5: Solve for x
   x = 34,026,967,296/89,424
6. Step 6: Final answer
   x = 380,512.70