Finding the Third Proportional to 59,944 and 126,056

Step by Step Solution

1. Step 1: Write the proportion equation
   59,944 : 126,056 = 126,056 : x
2. Step 2: Convert to fraction form
   59,944/126,056 = 126,056/x
3. Step 3: Cross multiply
   59,944x = 126,056 × 126,056
4. Step 4: Simplify right side
   59,944x = 15,890,115,136
5. Step 5: Solve for x
   x = 15,890,115,136/59,944
6. Step 6: Final answer
   x = 265,082.66