Finding the Third Proportional to 158,086 and 231,206

Step by Step Solution

1. Step 1: Write the proportion equation
   158,086 : 231,206 = 231,206 : x
2. Step 2: Convert to fraction form
   158,086/231,206 = 231,206/x
3. Step 3: Cross multiply
   158,086x = 231,206 × 231,206
4. Step 4: Simplify right side
   158,086x = 53,456,214,436
5. Step 5: Solve for x
   x = 53,456,214,436/158,086
6. Step 6: Final answer
   x = 338,146.42