Finding the Third Proportional to 106,892 and 230,914

Step by Step Solution

1. Step 1: Write the proportion equation
   106,892 : 230,914 = 230,914 : x
2. Step 2: Convert to fraction form
   106,892/230,914 = 230,914/x
3. Step 3: Cross multiply
   106,892x = 230,914 × 230,914
4. Step 4: Simplify right side
   106,892x = 53,321,275,396
5. Step 5: Solve for x
   x = 53,321,275,396/106,892
6. Step 6: Final answer
   x = 498,833.17