Finding the Third Proportional to 59,776 and 126,208

Step by Step Solution

1. Step 1: Write the proportion equation
   59,776 : 126,208 = 126,208 : x
2. Step 2: Convert to fraction form
   59,776/126,208 = 126,208/x
3. Step 3: Cross multiply
   59,776x = 126,208 × 126,208
4. Step 4: Simplify right side
   59,776x = 15,928,459,264
5. Step 5: Solve for x
   x = 15,928,459,264/59,776
6. Step 6: Final answer
   x = 266,469.14