Finding the Third Proportional to 123,610 and 265,856

Step by Step Solution

1. Step 1: Write the proportion equation
   123,610 : 265,856 = 265,856 : x
2. Step 2: Convert to fraction form
   123,610/265,856 = 265,856/x
3. Step 3: Cross multiply
   123,610x = 265,856 × 265,856
4. Step 4: Simplify right side
   123,610x = 70,679,412,736
5. Step 5: Solve for x
   x = 70,679,412,736/123,610
6. Step 6: Final answer
   x = 571,793.65