Finding the Third Proportional to 401,930 and 545,834

Step by Step Solution

1. Step 1: Write the proportion equation
   401,930 : 545,834 = 545,834 : x
2. Step 2: Convert to fraction form
   401,930/545,834 = 545,834/x
3. Step 3: Cross multiply
   401,930x = 545,834 × 545,834
4. Step 4: Simplify right side
   401,930x = 297,934,755,556
5. Step 5: Solve for x
   x = 297,934,755,556/401,930
6. Step 6: Final answer
   x = 741,260.31