Finding the Third Proportional to 123,508 and 269,106

Step by Step Solution

1. Step 1: Write the proportion equation
   123,508 : 269,106 = 269,106 : x
2. Step 2: Convert to fraction form
   123,508/269,106 = 269,106/x
3. Step 3: Cross multiply
   123,508x = 269,106 × 269,106
4. Step 4: Simplify right side
   123,508x = 72,418,039,236
5. Step 5: Solve for x
   x = 72,418,039,236/123,508
6. Step 6: Final answer
   x = 586,342.90