Finding the Third Proportional to 116,798 and 256,204

Step by Step Solution

1. Step 1: Write the proportion equation
   116,798 : 256,204 = 256,204 : x
2. Step 2: Convert to fraction form
   116,798/256,204 = 256,204/x
3. Step 3: Cross multiply
   116,798x = 256,204 × 256,204
4. Step 4: Simplify right side
   116,798x = 65,640,489,616
5. Step 5: Solve for x
   x = 65,640,489,616/116,798
6. Step 6: Final answer
   x = 562,000.12