Finding the Third Proportional to 59,144 and 86,424

Step by Step Solution

1. Step 1: Write the proportion equation
   59,144 : 86,424 = 86,424 : x
2. Step 2: Convert to fraction form
   59,144/86,424 = 86,424/x
3. Step 3: Cross multiply
   59,144x = 86,424 × 86,424
4. Step 4: Simplify right side
   59,144x = 7,469,107,776
5. Step 5: Solve for x
   x = 7,469,107,776/59,144
6. Step 6: Final answer
   x = 126,286.82