Finding the Third Proportional to 116,004 and 184,374

Step by Step Solution

1. Step 1: Write the proportion equation
   116,004 : 184,374 = 184,374 : x
2. Step 2: Convert to fraction form
   116,004/184,374 = 184,374/x
3. Step 3: Cross multiply
   116,004x = 184,374 × 184,374
4. Step 4: Simplify right side
   116,004x = 33,993,771,876
5. Step 5: Solve for x
   x = 33,993,771,876/116,004
6. Step 6: Final answer
   x = 293,039.65