Finding the Third Proportional to 116,022 and 184,614

Step by Step Solution

1. Step 1: Write the proportion equation
   116,022 : 184,614 = 184,614 : x
2. Step 2: Convert to fraction form
   116,022/184,614 = 184,614/x
3. Step 3: Cross multiply
   116,022x = 184,614 × 184,614
4. Step 4: Simplify right side
   116,022x = 34,082,328,996
5. Step 5: Solve for x
   x = 34,082,328,996/116,022
6. Step 6: Final answer
   x = 293,757.47