Finding the Third Proportional to 59,658 and 126,228

Step by Step Solution

1. Step 1: Write the proportion equation
   59,658 : 126,228 = 126,228 : x
2. Step 2: Convert to fraction form
   59,658/126,228 = 126,228/x
3. Step 3: Cross multiply
   59,658x = 126,228 × 126,228
4. Step 4: Simplify right side
   59,658x = 15,933,507,984
5. Step 5: Solve for x
   x = 15,933,507,984/59,658
6. Step 6: Final answer
   x = 267,080.83