Finding the Third Proportional to 401,712 and 550,834

Step by Step Solution

1. Step 1: Write the proportion equation
   401,712 : 550,834 = 550,834 : x
2. Step 2: Convert to fraction form
   401,712/550,834 = 550,834/x
3. Step 3: Cross multiply
   401,712x = 550,834 × 550,834
4. Step 4: Simplify right side
   401,712x = 303,418,095,556
5. Step 5: Solve for x
   x = 303,418,095,556/401,712
6. Step 6: Final answer
   x = 755,312.50