Finding the Third Proportional to 234,394 and 496,724

Step by Step Solution

1. Step 1: Write the proportion equation
   234,394 : 496,724 = 496,724 : x
2. Step 2: Convert to fraction form
   234,394/496,724 = 496,724/x
3. Step 3: Cross multiply
   234,394x = 496,724 × 496,724
4. Step 4: Simplify right side
   234,394x = 246,734,732,176
5. Step 5: Solve for x
   x = 246,734,732,176/234,394
6. Step 6: Final answer
   x = 1,052,649.52