Finding the Third Proportional to 123,342 and 269,751

Step by Step Solution

1. Step 1: Write the proportion equation
   123,342 : 269,751 = 269,751 : x
2. Step 2: Convert to fraction form
   123,342/269,751 = 269,751/x
3. Step 3: Cross multiply
   123,342x = 269,751 × 269,751
4. Step 4: Simplify right side
   123,342x = 72,765,602,001
5. Step 5: Solve for x
   x = 72,765,602,001/123,342
6. Step 6: Final answer
   x = 589,949.91