Finding the Third Proportional to 111,706 and 231,188

Step by Step Solution

1. Step 1: Write the proportion equation
   111,706 : 231,188 = 231,188 : x
2. Step 2: Convert to fraction form
   111,706/231,188 = 231,188/x
3. Step 3: Cross multiply
   111,706x = 231,188 × 231,188
4. Step 4: Simplify right side
   111,706x = 53,447,891,344
5. Step 5: Solve for x
   x = 53,447,891,344/111,706
6. Step 6: Final answer
   x = 478,469.30