Finding the Third Proportional to 113,894 and 266,105

Step by Step Solution

1. Step 1: Write the proportion equation
   113,894 : 266,105 = 266,105 : x
2. Step 2: Convert to fraction form
   113,894/266,105 = 266,105/x
3. Step 3: Cross multiply
   113,894x = 266,105 × 266,105
4. Step 4: Simplify right side
   113,894x = 70,811,871,025
5. Step 5: Solve for x
   x = 70,811,871,025/113,894
6. Step 6: Final answer
   x = 621,734.87