Finding the Third Proportional to 116,658 and 256,644

Step by Step Solution

1. Step 1: Write the proportion equation
   116,658 : 256,644 = 256,644 : x
2. Step 2: Convert to fraction form
   116,658/256,644 = 256,644/x
3. Step 3: Cross multiply
   116,658x = 256,644 × 256,644
4. Step 4: Simplify right side
   116,658x = 65,866,142,736
5. Step 5: Solve for x
   x = 65,866,142,736/116,658
6. Step 6: Final answer
   x = 564,608.88