Finding the Third Proportional to 76,952 and 168,016

Step by Step Solution

1. Step 1: Write the proportion equation
   76,952 : 168,016 = 168,016 : x
2. Step 2: Convert to fraction form
   76,952/168,016 = 168,016/x
3. Step 3: Cross multiply
   76,952x = 168,016 × 168,016
4. Step 4: Simplify right side
   76,952x = 28,229,376,256
5. Step 5: Solve for x
   x = 28,229,376,256/76,952
6. Step 6: Final answer
   x = 366,843.96