Finding the Third Proportional to 111,914 and 177,211

Step by Step Solution

1. Step 1: Write the proportion equation
   111,914 : 177,211 = 177,211 : x
2. Step 2: Convert to fraction form
   111,914/177,211 = 177,211/x
3. Step 3: Cross multiply
   111,914x = 177,211 × 177,211
4. Step 4: Simplify right side
   111,914x = 31,403,738,521
5. Step 5: Solve for x
   x = 31,403,738,521/111,914
6. Step 6: Final answer
   x = 280,605.99