Finding the Third Proportional to 111,696 and 226,632

Step by Step Solution

1. Step 1: Write the proportion equation
   111,696 : 226,632 = 226,632 : x
2. Step 2: Convert to fraction form
   111,696/226,632 = 226,632/x
3. Step 3: Cross multiply
   111,696x = 226,632 × 226,632
4. Step 4: Simplify right side
   111,696x = 51,362,063,424
5. Step 5: Solve for x
   x = 51,362,063,424/111,696
6. Step 6: Final answer
   x = 459,837.98