Finding the Third Proportional to 123,214 and 263,922

Step by Step Solution

1. Step 1: Write the proportion equation
   123,214 : 263,922 = 263,922 : x
2. Step 2: Convert to fraction form
   123,214/263,922 = 263,922/x
3. Step 3: Cross multiply
   123,214x = 263,922 × 263,922
4. Step 4: Simplify right side
   123,214x = 69,654,822,084
5. Step 5: Solve for x
   x = 69,654,822,084/123,214
6. Step 6: Final answer
   x = 565,315.81