Finding the Third Proportional to 84,627 and 184,016

Step by Step Solution

1. Step 1: Write the proportion equation
   84,627 : 184,016 = 184,016 : x
2. Step 2: Convert to fraction form
   84,627/184,016 = 184,016/x
3. Step 3: Cross multiply
   84,627x = 184,016 × 184,016
4. Step 4: Simplify right side
   84,627x = 33,861,888,256
5. Step 5: Solve for x
   x = 33,861,888,256/84,627
6. Step 6: Final answer
   x = 400,131.03