Finding the Third Proportional to 111,128 and 226,384

Step by Step Solution

1. Step 1: Write the proportion equation
   111,128 : 226,384 = 226,384 : x
2. Step 2: Convert to fraction form
   111,128/226,384 = 226,384/x
3. Step 3: Cross multiply
   111,128x = 226,384 × 226,384
4. Step 4: Simplify right side
   111,128x = 51,249,715,456
5. Step 5: Solve for x
   x = 51,249,715,456/111,128
6. Step 6: Final answer
   x = 461,177.34