Finding the Third Proportional to 260,434 and 557,732

Step by Step Solution

1. Step 1: Write the proportion equation
   260,434 : 557,732 = 557,732 : x
2. Step 2: Convert to fraction form
   260,434/557,732 = 557,732/x
3. Step 3: Cross multiply
   260,434x = 557,732 × 557,732
4. Step 4: Simplify right side
   260,434x = 311,064,983,824
5. Step 5: Solve for x
   x = 311,064,983,824/260,434
6. Step 6: Final answer
   x = 1,194,410.04