Finding the Third Proportional to 123,123 and 265,686

Step by Step Solution

1. Step 1: Write the proportion equation
   123,123 : 265,686 = 265,686 : x
2. Step 2: Convert to fraction form
   123,123/265,686 = 265,686/x
3. Step 3: Cross multiply
   123,123x = 265,686 × 265,686
4. Step 4: Simplify right side
   123,123x = 70,589,050,596
5. Step 5: Solve for x
   x = 70,589,050,596/123,123
6. Step 6: Final answer
   x = 573,321.40