Finding the Third Proportional to 116,072 and 184,480

Step by Step Solution

1. Step 1: Write the proportion equation
   116,072 : 184,480 = 184,480 : x
2. Step 2: Convert to fraction form
   116,072/184,480 = 184,480/x
3. Step 3: Cross multiply
   116,072x = 184,480 × 184,480
4. Step 4: Simplify right side
   116,072x = 34,032,870,400
5. Step 5: Solve for x
   x = 34,032,870,400/116,072
6. Step 6: Final answer
   x = 293,204.82