Finding the Third Proportional to 78,876 and 168,822

Step by Step Solution

1. Step 1: Write the proportion equation
   78,876 : 168,822 = 168,822 : x
2. Step 2: Convert to fraction form
   78,876/168,822 = 168,822/x
3. Step 3: Cross multiply
   78,876x = 168,822 × 168,822
4. Step 4: Simplify right side
   78,876x = 28,500,867,684
5. Step 5: Solve for x
   x = 28,500,867,684/78,876
6. Step 6: Final answer
   x = 361,337.64