Finding the Third Proportional to 138,944 and 215,016

Step by Step Solution

1. Step 1: Write the proportion equation
   138,944 : 215,016 = 215,016 : x
2. Step 2: Convert to fraction form
   138,944/215,016 = 215,016/x
3. Step 3: Cross multiply
   138,944x = 215,016 × 215,016
4. Step 4: Simplify right side
   138,944x = 46,231,880,256
5. Step 5: Solve for x
   x = 46,231,880,256/138,944
6. Step 6: Final answer
   x = 332,737.51