Finding the Third Proportional to 116,944 and 257,216

Step by Step Solution

1. Step 1: Write the proportion equation
   116,944 : 257,216 = 257,216 : x
2. Step 2: Convert to fraction form
   116,944/257,216 = 257,216/x
3. Step 3: Cross multiply
   116,944x = 257,216 × 257,216
4. Step 4: Simplify right side
   116,944x = 66,160,070,656
5. Step 5: Solve for x
   x = 66,160,070,656/116,944
6. Step 6: Final answer
   x = 565,741.47