Finding the Third Proportional to 78,636 and 169,784

Step by Step Solution

1. Step 1: Write the proportion equation
   78,636 : 169,784 = 169,784 : x
2. Step 2: Convert to fraction form
   78,636/169,784 = 169,784/x
3. Step 3: Cross multiply
   78,636x = 169,784 × 169,784
4. Step 4: Simplify right side
   78,636x = 28,826,606,656
5. Step 5: Solve for x
   x = 28,826,606,656/78,636
6. Step 6: Final answer
   x = 366,582.82