Finding the Third Proportional to 824,788 and 1,277,074

Step by Step Solution

1. Step 1: Write the proportion equation
   824,788 : 1,277,074 = 1,277,074 : x
2. Step 2: Convert to fraction form
   824,788/1,277,074 = 1,277,074/x
3. Step 3: Cross multiply
   824,788x = 1,277,074 × 1,277,074
4. Step 4: Simplify right side
   824,788x = 1,630,918,001,476
5. Step 5: Solve for x
   x = 1,630,918,001,476/824,788
6. Step 6: Final answer
   x = 1,977,378.43