Finding the Third Proportional to 997,538 and 1,547,766

Step by Step Solution

1. Step 1: Write the proportion equation
   997,538 : 1,547,766 = 1,547,766 : x
2. Step 2: Convert to fraction form
   997,538/1,547,766 = 1,547,766/x
3. Step 3: Cross multiply
   997,538x = 1,547,766 × 1,547,766
4. Step 4: Simplify right side
   997,538x = 2,395,579,590,756
5. Step 5: Solve for x
   x = 2,395,579,590,756/997,538
6. Step 6: Final answer
   x = 2,401,492.06