Finding the Third Proportional to 83,642 and 184,132

Step by Step Solution

1. Step 1: Write the proportion equation
   83,642 : 184,132 = 184,132 : x
2. Step 2: Convert to fraction form
   83,642/184,132 = 184,132/x
3. Step 3: Cross multiply
   83,642x = 184,132 × 184,132
4. Step 4: Simplify right side
   83,642x = 33,904,593,424
5. Step 5: Solve for x
   x = 33,904,593,424/83,642
6. Step 6: Final answer
   x = 405,353.69