Finding the Third Proportional to 78,528 and 170,256

Step by Step Solution

1. Step 1: Write the proportion equation
   78,528 : 170,256 = 170,256 : x
2. Step 2: Convert to fraction form
   78,528/170,256 = 170,256/x
3. Step 3: Cross multiply
   78,528x = 170,256 × 170,256
4. Step 4: Simplify right side
   78,528x = 28,987,105,536
5. Step 5: Solve for x
   x = 28,987,105,536/78,528
6. Step 6: Final answer
   x = 369,130.83