Finding the Third Proportional to 127,704 and 204,008

Step by Step Solution

1. Step 1: Write the proportion equation
   127,704 : 204,008 = 204,008 : x
2. Step 2: Convert to fraction form
   127,704/204,008 = 204,008/x
3. Step 3: Cross multiply
   127,704x = 204,008 × 204,008
4. Step 4: Simplify right side
   127,704x = 41,619,264,064
5. Step 5: Solve for x
   x = 41,619,264,064/127,704
6. Step 6: Final answer
   x = 325,904.15