Finding the Third Proportional to 35,798 and 76,204

Step by Step Solution

1. Step 1: Write the proportion equation
   35,798 : 76,204 = 76,204 : x
2. Step 2: Convert to fraction form
   35,798/76,204 = 76,204/x
3. Step 3: Cross multiply
   35,798x = 76,204 × 76,204
4. Step 4: Simplify right side
   35,798x = 5,807,049,616
5. Step 5: Solve for x
   x = 5,807,049,616/35,798
6. Step 6: Final answer
   x = 162,217.15