Finding the Third Proportional to 123,411 and 269,442

Step by Step Solution

1. Step 1: Write the proportion equation
   123,411 : 269,442 = 269,442 : x
2. Step 2: Convert to fraction form
   123,411/269,442 = 269,442/x
3. Step 3: Cross multiply
   123,411x = 269,442 × 269,442
4. Step 4: Simplify right side
   123,411x = 72,598,991,364
5. Step 5: Solve for x
   x = 72,598,991,364/123,411
6. Step 6: Final answer
   x = 588,270.02