Finding the Third Proportional to 78,816 and 167,856

Step by Step Solution

1. Step 1: Write the proportion equation
   78,816 : 167,856 = 167,856 : x
2. Step 2: Convert to fraction form
   78,816/167,856 = 167,856/x
3. Step 3: Cross multiply
   78,816x = 167,856 × 167,856
4. Step 4: Simplify right side
   78,816x = 28,175,636,736
5. Step 5: Solve for x
   x = 28,175,636,736/78,816
6. Step 6: Final answer
   x = 357,486.26