Finding the Third Proportional to 111,216 and 242,016

Step by Step Solution

1. Step 1: Write the proportion equation
   111,216 : 242,016 = 242,016 : x
2. Step 2: Convert to fraction form
   111,216/242,016 = 242,016/x
3. Step 3: Cross multiply
   111,216x = 242,016 × 242,016
4. Step 4: Simplify right side
   111,216x = 58,571,744,256
5. Step 5: Solve for x
   x = 58,571,744,256/111,216
6. Step 6: Final answer
   x = 526,648.54