Finding the Third Proportional to 111,918 and 177,216

Step by Step Solution

1. Step 1: Write the proportion equation
   111,918 : 177,216 = 177,216 : x
2. Step 2: Convert to fraction form
   111,918/177,216 = 177,216/x
3. Step 3: Cross multiply
   111,918x = 177,216 × 177,216
4. Step 4: Simplify right side
   111,918x = 31,405,510,656
5. Step 5: Solve for x
   x = 31,405,510,656/111,918
6. Step 6: Final answer
   x = 280,611.79