Finding the Third Proportional to 123,914 and 263,812

Step by Step Solution

1. Step 1: Write the proportion equation
   123,914 : 263,812 = 263,812 : x
2. Step 2: Convert to fraction form
   123,914/263,812 = 263,812/x
3. Step 3: Cross multiply
   123,914x = 263,812 × 263,812
4. Step 4: Simplify right side
   123,914x = 69,596,771,344
5. Step 5: Solve for x
   x = 69,596,771,344/123,914
6. Step 6: Final answer
   x = 561,653.82