Finding the Third Proportional to 123,433 and 269,166

Step by Step Solution

1. Step 1: Write the proportion equation
   123,433 : 269,166 = 269,166 : x
2. Step 2: Convert to fraction form
   123,433/269,166 = 269,166/x
3. Step 3: Cross multiply
   123,433x = 269,166 × 269,166
4. Step 4: Simplify right side
   123,433x = 72,450,335,556
5. Step 5: Solve for x
   x = 72,450,335,556/123,433
6. Step 6: Final answer
   x = 586,960.83