Finding the Third Proportional to 111,213 and 231,642

Step by Step Solution

1. Step 1: Write the proportion equation
   111,213 : 231,642 = 231,642 : x
2. Step 2: Convert to fraction form
   111,213/231,642 = 231,642/x
3. Step 3: Cross multiply
   111,213x = 231,642 × 231,642
4. Step 4: Simplify right side
   111,213x = 53,658,016,164
5. Step 5: Solve for x
   x = 53,658,016,164/111,213
6. Step 6: Final answer
   x = 482,479.71