Finding the Third Proportional to 59,406 and 126,444

Step by Step Solution

1. Step 1: Write the proportion equation
   59,406 : 126,444 = 126,444 : x
2. Step 2: Convert to fraction form
   59,406/126,444 = 126,444/x
3. Step 3: Cross multiply
   59,406x = 126,444 × 126,444
4. Step 4: Simplify right side
   59,406x = 15,988,085,136
5. Step 5: Solve for x
   x = 15,988,085,136/59,406
6. Step 6: Final answer
   x = 269,132.50