Finding the Third Proportional to 111,407 and 231,994

Step by Step Solution

1. Step 1: Write the proportion equation
   111,407 : 231,994 = 231,994 : x
2. Step 2: Convert to fraction form
   111,407/231,994 = 231,994/x
3. Step 3: Cross multiply
   111,407x = 231,994 × 231,994
4. Step 4: Simplify right side
   111,407x = 53,821,216,036
5. Step 5: Solve for x
   x = 53,821,216,036/111,407
6. Step 6: Final answer
   x = 483,104.44