Finding the Third Proportional to 123,205 and 263,906

Step by Step Solution

1. Step 1: Write the proportion equation
   123,205 : 263,906 = 263,906 : x
2. Step 2: Convert to fraction form
   123,205/263,906 = 263,906/x
3. Step 3: Cross multiply
   123,205x = 263,906 × 263,906
4. Step 4: Simplify right side
   123,205x = 69,646,376,836
5. Step 5: Solve for x
   x = 69,646,376,836/123,205
6. Step 6: Final answer
   x = 565,288.56