Finding the Third Proportional to 123,530 and 269,649

Step by Step Solution

1. Step 1: Write the proportion equation
   123,530 : 269,649 = 269,649 : x
2. Step 2: Convert to fraction form
   123,530/269,649 = 269,649/x
3. Step 3: Cross multiply
   123,530x = 269,649 × 269,649
4. Step 4: Simplify right side
   123,530x = 72,710,583,201
5. Step 5: Solve for x
   x = 72,710,583,201/123,530
6. Step 6: Final answer
   x = 588,606.68