Finding the Third Proportional to 116,027 and 184,622

Step by Step Solution

1. Step 1: Write the proportion equation
   116,027 : 184,622 = 184,622 : x
2. Step 2: Convert to fraction form
   116,027/184,622 = 184,622/x
3. Step 3: Cross multiply
   116,027x = 184,622 × 184,622
4. Step 4: Simplify right side
   116,027x = 34,085,282,884
5. Step 5: Solve for x
   x = 34,085,282,884/116,027
6. Step 6: Final answer
   x = 293,770.27