Finding the Third Proportional to 828,898 and 1,745,824

Step by Step Solution

1. Step 1: Write the proportion equation
   828,898 : 1,745,824 = 1,745,824 : x
2. Step 2: Convert to fraction form
   828,898/1,745,824 = 1,745,824/x
3. Step 3: Cross multiply
   828,898x = 1,745,824 × 1,745,824
4. Step 4: Simplify right side
   828,898x = 3,047,901,438,976
5. Step 5: Solve for x
   x = 3,047,901,438,976/828,898
6. Step 6: Final answer
   x = 3,677,052.47