Finding the Third Proportional to 78,487 and 169,546

Step by Step Solution

1. Step 1: Write the proportion equation
   78,487 : 169,546 = 169,546 : x
2. Step 2: Convert to fraction form
   78,487/169,546 = 169,546/x
3. Step 3: Cross multiply
   78,487x = 169,546 × 169,546
4. Step 4: Simplify right side
   78,487x = 28,745,846,116
5. Step 5: Solve for x
   x = 28,745,846,116/78,487
6. Step 6: Final answer
   x = 366,249.78