Finding the Third Proportional to 116,022 and 184,615

Step by Step Solution

1. Step 1: Write the proportion equation
   116,022 : 184,615 = 184,615 : x
2. Step 2: Convert to fraction form
   116,022/184,615 = 184,615/x
3. Step 3: Cross multiply
   116,022x = 184,615 × 184,615
4. Step 4: Simplify right side
   116,022x = 34,082,698,225
5. Step 5: Solve for x
   x = 34,082,698,225/116,022
6. Step 6: Final answer
   x = 293,760.65