Finding the Third Proportional to 1,027,566 and 1,581,363

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027,566 : 1,581,363 = 1,581,363 : x
2. Step 2: Convert to fraction form
   1,027,566/1,581,363 = 1,581,363/x
3. Step 3: Cross multiply
   1,027,566x = 1,581,363 × 1,581,363
4. Step 4: Simplify right side
   1,027,566x = 2,500,708,937,769
5. Step 5: Solve for x
   x = 2,500,708,937,769/1,027,566
6. Step 6: Final answer
   x = 2,433,623.67