Finding the Third Proportional to 116,796 and 256,920

Step by Step Solution

1. Step 1: Write the proportion equation
   116,796 : 256,920 = 256,920 : x
2. Step 2: Convert to fraction form
   116,796/256,920 = 256,920/x
3. Step 3: Cross multiply
   116,796x = 256,920 × 256,920
4. Step 4: Simplify right side
   116,796x = 66,007,886,400
5. Step 5: Solve for x
   x = 66,007,886,400/116,796
6. Step 6: Final answer
   x = 565,155.37