Finding the Third Proportional to 117,002 and 256,216

Step by Step Solution

1. Step 1: Write the proportion equation
   117,002 : 256,216 = 256,216 : x
2. Step 2: Convert to fraction form
   117,002/256,216 = 256,216/x
3. Step 3: Cross multiply
   117,002x = 256,216 × 256,216
4. Step 4: Simplify right side
   117,002x = 65,646,638,656
5. Step 5: Solve for x
   x = 65,646,638,656/117,002
6. Step 6: Final answer
   x = 561,072.79