Finding the Third Proportional to 123,519 and 269,637

Step by Step Solution

1. Step 1: Write the proportion equation
   123,519 : 269,637 = 269,637 : x
2. Step 2: Convert to fraction form
   123,519/269,637 = 269,637/x
3. Step 3: Cross multiply
   123,519x = 269,637 × 269,637
4. Step 4: Simplify right side
   123,519x = 72,704,111,769
5. Step 5: Solve for x
   x = 72,704,111,769/123,519
6. Step 6: Final answer
   x = 588,606.71