Finding the Third Proportional to 78,148 and 169,256

Step by Step Solution

1. Step 1: Write the proportion equation
   78,148 : 169,256 = 169,256 : x
2. Step 2: Convert to fraction form
   78,148/169,256 = 169,256/x
3. Step 3: Cross multiply
   78,148x = 169,256 × 169,256
4. Step 4: Simplify right side
   78,148x = 28,647,593,536
5. Step 5: Solve for x
   x = 28,647,593,536/78,148
6. Step 6: Final answer
   x = 366,581.28