Finding the Third Proportional to 78,627 and 169,768

Step by Step Solution

1. Step 1: Write the proportion equation
   78,627 : 169,768 = 169,768 : x
2. Step 2: Convert to fraction form
   78,627/169,768 = 169,768/x
3. Step 3: Cross multiply
   78,627x = 169,768 × 169,768
4. Step 4: Simplify right side
   78,627x = 28,821,173,824
5. Step 5: Solve for x
   x = 28,821,173,824/78,627
6. Step 6: Final answer
   x = 366,555.68