Finding the Third Proportional to 116,780 and 256,888

Step by Step Solution

1. Step 1: Write the proportion equation
   116,780 : 256,888 = 256,888 : x
2. Step 2: Convert to fraction form
   116,780/256,888 = 256,888/x
3. Step 3: Cross multiply
   116,780x = 256,888 × 256,888
4. Step 4: Simplify right side
   116,780x = 65,991,444,544
5. Step 5: Solve for x
   x = 65,991,444,544/116,780
6. Step 6: Final answer
   x = 565,092.01