Finding the Third Proportional to 123,694 and 264,878

Step by Step Solution

1. Step 1: Write the proportion equation
   123,694 : 264,878 = 264,878 : x
2. Step 2: Convert to fraction form
   123,694/264,878 = 264,878/x
3. Step 3: Cross multiply
   123,694x = 264,878 × 264,878
4. Step 4: Simplify right side
   123,694x = 70,160,354,884
5. Step 5: Solve for x
   x = 70,160,354,884/123,694
6. Step 6: Final answer
   x = 567,209.04