Finding the Third Proportional to 78,636 and 169,792

Step by Step Solution

1. Step 1: Write the proportion equation
   78,636 : 169,792 = 169,792 : x
2. Step 2: Convert to fraction form
   78,636/169,792 = 169,792/x
3. Step 3: Cross multiply
   78,636x = 169,792 × 169,792
4. Step 4: Simplify right side
   78,636x = 28,829,323,264
5. Step 5: Solve for x
   x = 28,829,323,264/78,636
6. Step 6: Final answer
   x = 366,617.37