Finding the Third Proportional to 83,685 and 184,002

Step by Step Solution

1. Step 1: Write the proportion equation
   83,685 : 184,002 = 184,002 : x
2. Step 2: Convert to fraction form
   83,685/184,002 = 184,002/x
3. Step 3: Cross multiply
   83,685x = 184,002 × 184,002
4. Step 4: Simplify right side
   83,685x = 33,856,736,004
5. Step 5: Solve for x
   x = 33,856,736,004/83,685
6. Step 6: Final answer
   x = 404,573.53