Finding the Third Proportional to 116,709.75 and 256,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,709.75 : 256,016.25 = 256,016.25 : x
2. Step 2: Convert to fraction form
   116,709.75/256,016.25 = 256,016.25/x
3. Step 3: Cross multiply
   116,709.75x = 256,016.25 × 256,016.25
4. Step 4: Simplify right side
   116,709.75x = 65,544,320,264.06
5. Step 5: Solve for x
   x = 65,544,320,264.06/116,709.75
6. Step 6: Final answer
   x = 561,601.07