Finding the Third Proportional to 123,910 and 263,804

Step by Step Solution

1. Step 1: Write the proportion equation
   123,910 : 263,804 = 263,804 : x
2. Step 2: Convert to fraction form
   123,910/263,804 = 263,804/x
3. Step 3: Cross multiply
   123,910x = 263,804 × 263,804
4. Step 4: Simplify right side
   123,910x = 69,592,550,416
5. Step 5: Solve for x
   x = 69,592,550,416/123,910
6. Step 6: Final answer
   x = 561,637.89