Finding the Third Proportional to 210,526 and 461,834

Step by Step Solution

1. Step 1: Write the proportion equation
   210,526 : 461,834 = 461,834 : x
2. Step 2: Convert to fraction form
   210,526/461,834 = 461,834/x
3. Step 3: Cross multiply
   210,526x = 461,834 × 461,834
4. Step 4: Simplify right side
   210,526x = 213,290,643,556
5. Step 5: Solve for x
   x = 213,290,643,556/210,526
6. Step 6: Final answer
   x = 1,013,132.08