Finding the Third Proportional to 59,617 and 126,342

Step by Step Solution

1. Step 1: Write the proportion equation
   59,617 : 126,342 = 126,342 : x
2. Step 2: Convert to fraction form
   59,617/126,342 = 126,342/x
3. Step 3: Cross multiply
   59,617x = 126,342 × 126,342
4. Step 4: Simplify right side
   59,617x = 15,962,300,964
5. Step 5: Solve for x
   x = 15,962,300,964/59,617
6. Step 6: Final answer
   x = 267,747.47