Finding the Third Proportional to 95,662 and 140,569

Step by Step Solution

1. Step 1: Write the proportion equation
   95,662 : 140,569 = 140,569 : x
2. Step 2: Convert to fraction form
   95,662/140,569 = 140,569/x
3. Step 3: Cross multiply
   95,662x = 140,569 × 140,569
4. Step 4: Simplify right side
   95,662x = 19,759,643,761
5. Step 5: Solve for x
   x = 19,759,643,761/95,662
6. Step 6: Final answer
   x = 206,556.87