Finding the Third Proportional to 76,084 and 165,016

Step by Step Solution

1. Step 1: Write the proportion equation
   76,084 : 165,016 = 165,016 : x
2. Step 2: Convert to fraction form
   76,084/165,016 = 165,016/x
3. Step 3: Cross multiply
   76,084x = 165,016 × 165,016
4. Step 4: Simplify right side
   76,084x = 27,230,280,256
5. Step 5: Solve for x
   x = 27,230,280,256/76,084
6. Step 6: Final answer
   x = 357,897.59