Finding the Third Proportional to 123,410 and 269,662

Step by Step Solution

1. Step 1: Write the proportion equation
   123,410 : 269,662 = 269,662 : x
2. Step 2: Convert to fraction form
   123,410/269,662 = 269,662/x
3. Step 3: Cross multiply
   123,410x = 269,662 × 269,662
4. Step 4: Simplify right side
   123,410x = 72,717,594,244
5. Step 5: Solve for x
   x = 72,717,594,244/123,410
6. Step 6: Final answer
   x = 589,235.83