Finding the Third Proportional to 59,096 and 125,488

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 125,488 = 125,488 : x
2. Step 2: Convert to fraction form
   59,096/125,488 = 125,488/x
3. Step 3: Cross multiply
   59,096x = 125,488 × 125,488
4. Step 4: Simplify right side
   59,096x = 15,747,238,144
5. Step 5: Solve for x
   x = 15,747,238,144/59,096
6. Step 6: Final answer
   x = 266,468.77