Finding the Third Proportional to 83,680 and 184,208

Step by Step Solution

1. Step 1: Write the proportion equation
   83,680 : 184,208 = 184,208 : x
2. Step 2: Convert to fraction form
   83,680/184,208 = 184,208/x
3. Step 3: Cross multiply
   83,680x = 184,208 × 184,208
4. Step 4: Simplify right side
   83,680x = 33,932,587,264
5. Step 5: Solve for x
   x = 33,932,587,264/83,680
6. Step 6: Final answer
   x = 405,504.15