Finding the Third Proportional to 117,642 and 256,020

Step by Step Solution

1. Step 1: Write the proportion equation
   117,642 : 256,020 = 256,020 : x
2. Step 2: Convert to fraction form
   117,642/256,020 = 256,020/x
3. Step 3: Cross multiply
   117,642x = 256,020 × 256,020
4. Step 4: Simplify right side
   117,642x = 65,546,240,400
5. Step 5: Solve for x
   x = 65,546,240,400/117,642
6. Step 6: Final answer
   x = 557,167.00