Finding the Third Proportional to 123,554 and 269,764

Step by Step Solution

1. Step 1: Write the proportion equation
   123,554 : 269,764 = 269,764 : x
2. Step 2: Convert to fraction form
   123,554/269,764 = 269,764/x
3. Step 3: Cross multiply
   123,554x = 269,764 × 269,764
4. Step 4: Simplify right side
   123,554x = 72,772,615,696
5. Step 5: Solve for x
   x = 72,772,615,696/123,554
6. Step 6: Final answer
   x = 588,994.41