Finding the Third Proportional to 105,807 and 230,538

Step by Step Solution

1. Step 1: Write the proportion equation
   105,807 : 230,538 = 230,538 : x
2. Step 2: Convert to fraction form
   105,807/230,538 = 230,538/x
3. Step 3: Cross multiply
   105,807x = 230,538 × 230,538
4. Step 4: Simplify right side
   105,807x = 53,147,769,444
5. Step 5: Solve for x
   x = 53,147,769,444/105,807
6. Step 6: Final answer
   x = 502,308.63