Finding the Third Proportional to 109,289 and 240,016

Step by Step Solution

1. Step 1: Write the proportion equation
   109,289 : 240,016 = 240,016 : x
2. Step 2: Convert to fraction form
   109,289/240,016 = 240,016/x
3. Step 3: Cross multiply
   109,289x = 240,016 × 240,016
4. Step 4: Simplify right side
   109,289x = 57,607,680,256
5. Step 5: Solve for x
   x = 57,607,680,256/109,289
6. Step 6: Final answer
   x = 527,113.25