Finding the Third Proportional to 113,626 and 177,855

Step by Step Solution

1. Step 1: Write the proportion equation
   113,626 : 177,855 = 177,855 : x
2. Step 2: Convert to fraction form
   113,626/177,855 = 177,855/x
3. Step 3: Cross multiply
   113,626x = 177,855 × 177,855
4. Step 4: Simplify right side
   113,626x = 31,632,401,025
5. Step 5: Solve for x
   x = 31,632,401,025/113,626
6. Step 6: Final answer
   x = 278,390.52