Finding the Third Proportional to 83,546 and 174,004

Step by Step Solution

1. Step 1: Write the proportion equation
   83,546 : 174,004 = 174,004 : x
2. Step 2: Convert to fraction form
   83,546/174,004 = 174,004/x
3. Step 3: Cross multiply
   83,546x = 174,004 × 174,004
4. Step 4: Simplify right side
   83,546x = 30,277,392,016
5. Step 5: Solve for x
   x = 30,277,392,016/83,546
6. Step 6: Final answer
   x = 362,403.85