Finding the Third Proportional to 123,599 and 269,842

Step by Step Solution

1. Step 1: Write the proportion equation
   123,599 : 269,842 = 269,842 : x
2. Step 2: Convert to fraction form
   123,599/269,842 = 269,842/x
3. Step 3: Cross multiply
   123,599x = 269,842 × 269,842
4. Step 4: Simplify right side
   123,599x = 72,814,704,964
5. Step 5: Solve for x
   x = 72,814,704,964/123,599
6. Step 6: Final answer
   x = 589,120.50