Finding the Third Proportional to 66,184 and 144,016

Step by Step Solution

1. Step 1: Write the proportion equation
   66,184 : 144,016 = 144,016 : x
2. Step 2: Convert to fraction form
   66,184/144,016 = 144,016/x
3. Step 3: Cross multiply
   66,184x = 144,016 × 144,016
4. Step 4: Simplify right side
   66,184x = 20,740,608,256
5. Step 5: Solve for x
   x = 20,740,608,256/66,184
6. Step 6: Final answer
   x = 313,377.98