Finding the Third Proportional to 123,924 and 265,836

Step by Step Solution

1. Step 1: Write the proportion equation
   123,924 : 265,836 = 265,836 : x
2. Step 2: Convert to fraction form
   123,924/265,836 = 265,836/x
3. Step 3: Cross multiply
   123,924x = 265,836 × 265,836
4. Step 4: Simplify right side
   123,924x = 70,668,778,896
5. Step 5: Solve for x
   x = 70,668,778,896/123,924
6. Step 6: Final answer
   x = 570,259.02