Finding the Third Proportional to 825,984 and 1,163,184

Step by Step Solution

1. Step 1: Write the proportion equation
   825,984 : 1,163,184 = 1,163,184 : x
2. Step 2: Convert to fraction form
   825,984/1,163,184 = 1,163,184/x
3. Step 3: Cross multiply
   825,984x = 1,163,184 × 1,163,184
4. Step 4: Simplify right side
   825,984x = 1,352,997,017,856
5. Step 5: Solve for x
   x = 1,352,997,017,856/825,984
6. Step 6: Final answer
   x = 1,638,042.65