Finding the Third Proportional to 231,905 and 338,016

Step by Step Solution

1. Step 1: Write the proportion equation
   231,905 : 338,016 = 338,016 : x
2. Step 2: Convert to fraction form
   231,905/338,016 = 338,016/x
3. Step 3: Cross multiply
   231,905x = 338,016 × 338,016
4. Step 4: Simplify right side
   231,905x = 114,254,816,256
5. Step 5: Solve for x
   x = 114,254,816,256/231,905
6. Step 6: Final answer
   x = 492,679.40