Finding the Third Proportional to 114,204 and 174,003

Step by Step Solution

1. Step 1: Write the proportion equation
   114,204 : 174,003 = 174,003 : x
2. Step 2: Convert to fraction form
   114,204/174,003 = 174,003/x
3. Step 3: Cross multiply
   114,204x = 174,003 × 174,003
4. Step 4: Simplify right side
   114,204x = 30,277,044,009
5. Step 5: Solve for x
   x = 30,277,044,009/114,204
6. Step 6: Final answer
   x = 265,113.69