Finding the Third Proportional to 89,424 and 184,608

Step by Step Solution

1. Step 1: Write the proportion equation
   89,424 : 184,608 = 184,608 : x
2. Step 2: Convert to fraction form
   89,424/184,608 = 184,608/x
3. Step 3: Cross multiply
   89,424x = 184,608 × 184,608
4. Step 4: Simplify right side
   89,424x = 34,080,113,664
5. Step 5: Solve for x
   x = 34,080,113,664/89,424
6. Step 6: Final answer
   x = 381,107.01