Finding the Third Proportional to 389,061 and 589,021

Step by Step Solution

1. Step 1: Write the proportion equation
   389,061 : 589,021 = 589,021 : x
2. Step 2: Convert to fraction form
   389,061/589,021 = 589,021/x
3. Step 3: Cross multiply
   389,061x = 589,021 × 589,021
4. Step 4: Simplify right side
   389,061x = 346,945,738,441
5. Step 5: Solve for x
   x = 346,945,738,441/389,061
6. Step 6: Final answer
   x = 891,751.52