Finding the Third Proportional to 111,696 and 231,168

Step by Step Solution

1. Step 1: Write the proportion equation
   111,696 : 231,168 = 231,168 : x
2. Step 2: Convert to fraction form
   111,696/231,168 = 231,168/x
3. Step 3: Cross multiply
   111,696x = 231,168 × 231,168
4. Step 4: Simplify right side
   111,696x = 53,438,644,224
5. Step 5: Solve for x
   x = 53,438,644,224/111,696
6. Step 6: Final answer
   x = 478,429.35