Finding the Third Proportional to 1,027,438 and 1,626,821

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027,438 : 1,626,821 = 1,626,821 : x
2. Step 2: Convert to fraction form
   1,027,438/1,626,821 = 1,626,821/x
3. Step 3: Cross multiply
   1,027,438x = 1,626,821 × 1,626,821
4. Step 4: Simplify right side
   1,027,438x = 2,646,546,566,041
5. Step 5: Solve for x
   x = 2,646,546,566,041/1,027,438
6. Step 6: Final answer
   x = 2,575,869.85