Finding the Third Proportional to 78,914 and 167,684

Step by Step Solution

1. Step 1: Write the proportion equation
   78,914 : 167,684 = 167,684 : x
2. Step 2: Convert to fraction form
   78,914/167,684 = 167,684/x
3. Step 3: Cross multiply
   78,914x = 167,684 × 167,684
4. Step 4: Simplify right side
   78,914x = 28,117,923,856
5. Step 5: Solve for x
   x = 28,117,923,856/78,914
6. Step 6: Final answer
   x = 356,310.97