Finding the Third Proportional to 35,204 and 76,504

Step by Step Solution

1. Step 1: Write the proportion equation
   35,204 : 76,504 = 76,504 : x
2. Step 2: Convert to fraction form
   35,204/76,504 = 76,504/x
3. Step 3: Cross multiply
   35,204x = 76,504 × 76,504
4. Step 4: Simplify right side
   35,204x = 5,852,862,016
5. Step 5: Solve for x
   x = 5,852,862,016/35,204
6. Step 6: Final answer
   x = 166,255.60