Finding the Third Proportional to 87,109 and 184,684

Step by Step Solution

1. Step 1: Write the proportion equation
   87,109 : 184,684 = 184,684 : x
2. Step 2: Convert to fraction form
   87,109/184,684 = 184,684/x
3. Step 3: Cross multiply
   87,109x = 184,684 × 184,684
4. Step 4: Simplify right side
   87,109x = 34,108,179,856
5. Step 5: Solve for x
   x = 34,108,179,856/87,109
6. Step 6: Final answer
   x = 391,557.47