Finding the Third Proportional to 78,984 and 168,816

Step by Step Solution

1. Step 1: Write the proportion equation
   78,984 : 168,816 = 168,816 : x
2. Step 2: Convert to fraction form
   78,984/168,816 = 168,816/x
3. Step 3: Cross multiply
   78,984x = 168,816 × 168,816
4. Step 4: Simplify right side
   78,984x = 28,498,841,856
5. Step 5: Solve for x
   x = 28,498,841,856/78,984
6. Step 6: Final answer
   x = 360,817.91