Finding the Third Proportional to 83,670 and 184,020

Step by Step Solution

1. Step 1: Write the proportion equation
   83,670 : 184,020 = 184,020 : x
2. Step 2: Convert to fraction form
   83,670/184,020 = 184,020/x
3. Step 3: Cross multiply
   83,670x = 184,020 × 184,020
4. Step 4: Simplify right side
   83,670x = 33,863,360,400
5. Step 5: Solve for x
   x = 33,863,360,400/83,670
6. Step 6: Final answer
   x = 404,725.23