Finding the Third Proportional to 116,864 and 257,056

Step by Step Solution

1. Step 1: Write the proportion equation
   116,864 : 257,056 = 257,056 : x
2. Step 2: Convert to fraction form
   116,864/257,056 = 257,056/x
3. Step 3: Cross multiply
   116,864x = 257,056 × 257,056
4. Step 4: Simplify right side
   116,864x = 66,077,787,136
5. Step 5: Solve for x
   x = 66,077,787,136/116,864
6. Step 6: Final answer
   x = 565,424.66