Finding the Third Proportional to 64,289 and 131,710

Step by Step Solution

1. Step 1: Write the proportion equation
   64,289 : 131,710 = 131,710 : x
2. Step 2: Convert to fraction form
   64,289/131,710 = 131,710/x
3. Step 3: Cross multiply
   64,289x = 131,710 × 131,710
4. Step 4: Simplify right side
   64,289x = 17,347,524,100
5. Step 5: Solve for x
   x = 17,347,524,100/64,289
6. Step 6: Final answer
   x = 269,836.58