Finding the Third Proportional to 111,370 and 233,676

Step by Step Solution

1. Step 1: Write the proportion equation
   111,370 : 233,676 = 233,676 : x
2. Step 2: Convert to fraction form
   111,370/233,676 = 233,676/x
3. Step 3: Cross multiply
   111,370x = 233,676 × 233,676
4. Step 4: Simplify right side
   111,370x = 54,604,472,976
5. Step 5: Solve for x
   x = 54,604,472,976/111,370
6. Step 6: Final answer
   x = 490,297.86