Finding the Third Proportional to 116,856 and 257,040

Step by Step Solution

1. Step 1: Write the proportion equation
   116,856 : 257,040 = 257,040 : x
2. Step 2: Convert to fraction form
   116,856/257,040 = 257,040/x
3. Step 3: Cross multiply
   116,856x = 257,040 × 257,040
4. Step 4: Simplify right side
   116,856x = 66,069,561,600
5. Step 5: Solve for x
   x = 66,069,561,600/116,856
6. Step 6: Final answer
   x = 565,392.98