Finding the Third Proportional to 123,206 and 264,814

Step by Step Solution

1. Step 1: Write the proportion equation
   123,206 : 264,814 = 264,814 : x
2. Step 2: Convert to fraction form
   123,206/264,814 = 264,814/x
3. Step 3: Cross multiply
   123,206x = 264,814 × 264,814
4. Step 4: Simplify right side
   123,206x = 70,126,454,596
5. Step 5: Solve for x
   x = 70,126,454,596/123,206
6. Step 6: Final answer
   x = 569,180.52