Finding the Third Proportional to 123,222 and 263,934

Step by Step Solution

1. Step 1: Write the proportion equation
   123,222 : 263,934 = 263,934 : x
2. Step 2: Convert to fraction form
   123,222/263,934 = 263,934/x
3. Step 3: Cross multiply
   123,222x = 263,934 × 263,934
4. Step 4: Simplify right side
   123,222x = 69,661,156,356
5. Step 5: Solve for x
   x = 69,661,156,356/123,222
6. Step 6: Final answer
   x = 565,330.51