Finding the Third Proportional to 59,402 and 126,508

Step by Step Solution

1. Step 1: Write the proportion equation
   59,402 : 126,508 = 126,508 : x
2. Step 2: Convert to fraction form
   59,402/126,508 = 126,508/x
3. Step 3: Cross multiply
   59,402x = 126,508 × 126,508
4. Step 4: Simplify right side
   59,402x = 16,004,274,064
5. Step 5: Solve for x
   x = 16,004,274,064/59,402
6. Step 6: Final answer
   x = 269,423.15