Finding the Third Proportional to 116,698 and 256,004

Step by Step Solution

1. Step 1: Write the proportion equation
   116,698 : 256,004 = 256,004 : x
2. Step 2: Convert to fraction form
   116,698/256,004 = 256,004/x
3. Step 3: Cross multiply
   116,698x = 256,004 × 256,004
4. Step 4: Simplify right side
   116,698x = 65,538,048,016
5. Step 5: Solve for x
   x = 65,538,048,016/116,698
6. Step 6: Final answer
   x = 561,603.87