Finding the Third Proportional to 59,636 and 126,370

Step by Step Solution

1. Step 1: Write the proportion equation
   59,636 : 126,370 = 126,370 : x
2. Step 2: Convert to fraction form
   59,636/126,370 = 126,370/x
3. Step 3: Cross multiply
   59,636x = 126,370 × 126,370
4. Step 4: Simplify right side
   59,636x = 15,969,376,900
5. Step 5: Solve for x
   x = 15,969,376,900/59,636
6. Step 6: Final answer
   x = 267,780.82