Finding the Third Proportional to 537,724 and 825,384

Step by Step Solution

1. Step 1: Write the proportion equation
   537,724 : 825,384 = 825,384 : x
2. Step 2: Convert to fraction form
   537,724/825,384 = 825,384/x
3. Step 3: Cross multiply
   537,724x = 825,384 × 825,384
4. Step 4: Simplify right side
   537,724x = 681,258,747,456
5. Step 5: Solve for x
   x = 681,258,747,456/537,724
6. Step 6: Final answer
   x = 1,266,930.15