Finding the Third Proportional to 123,138 and 269,414

Step by Step Solution

1. Step 1: Write the proportion equation
   123,138 : 269,414 = 269,414 : x
2. Step 2: Convert to fraction form
   123,138/269,414 = 269,414/x
3. Step 3: Cross multiply
   123,138x = 269,414 × 269,414
4. Step 4: Simplify right side
   123,138x = 72,583,903,396
5. Step 5: Solve for x
   x = 72,583,903,396/123,138
6. Step 6: Final answer
   x = 589,451.70