Finding the Third Proportional to 86,494 and 184,148

Step by Step Solution

1. Step 1: Write the proportion equation
   86,494 : 184,148 = 184,148 : x
2. Step 2: Convert to fraction form
   86,494/184,148 = 184,148/x
3. Step 3: Cross multiply
   86,494x = 184,148 × 184,148
4. Step 4: Simplify right side
   86,494x = 33,910,485,904
5. Step 5: Solve for x
   x = 33,910,485,904/86,494
6. Step 6: Final answer
   x = 392,055.93