Finding the Third Proportional to 116,058 and 184,455

Step by Step Solution

1. Step 1: Write the proportion equation
   116,058 : 184,455 = 184,455 : x
2. Step 2: Convert to fraction form
   116,058/184,455 = 184,455/x
3. Step 3: Cross multiply
   116,058x = 184,455 × 184,455
4. Step 4: Simplify right side
   116,058x = 34,023,647,025
5. Step 5: Solve for x
   x = 34,023,647,025/116,058
6. Step 6: Final answer
   x = 293,160.72