Finding the Third Proportional to 828,424 and 1,777,680

Step by Step Solution

1. Step 1: Write the proportion equation
   828,424 : 1,777,680 = 1,777,680 : x
2. Step 2: Convert to fraction form
   828,424/1,777,680 = 1,777,680/x
3. Step 3: Cross multiply
   828,424x = 1,777,680 × 1,777,680
4. Step 4: Simplify right side
   828,424x = 3,160,146,182,400
5. Step 5: Solve for x
   x = 3,160,146,182,400/828,424
6. Step 6: Final answer
   x = 3,814,648.27