Finding the Third Proportional to 601,976 and 825,460

Step by Step Solution

1. Step 1: Write the proportion equation
   601,976 : 825,460 = 825,460 : x
2. Step 2: Convert to fraction form
   601,976/825,460 = 825,460/x
3. Step 3: Cross multiply
   601,976x = 825,460 × 825,460
4. Step 4: Simplify right side
   601,976x = 681,384,211,600
5. Step 5: Solve for x
   x = 681,384,211,600/601,976
6. Step 6: Final answer
   x = 1,131,912.59