Finding the Third Proportional to 109,614 and 239,065

Step by Step Solution

1. Step 1: Write the proportion equation
   109,614 : 239,065 = 239,065 : x
2. Step 2: Convert to fraction form
   109,614/239,065 = 239,065/x
3. Step 3: Cross multiply
   109,614x = 239,065 × 239,065
4. Step 4: Simplify right side
   109,614x = 57,152,074,225
5. Step 5: Solve for x
   x = 57,152,074,225/109,614
6. Step 6: Final answer
   x = 521,393.93