Finding the Third Proportional to 1,012,566 and 1,424,301

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012,566 : 1,424,301 = 1,424,301 : x
2. Step 2: Convert to fraction form
   1,012,566/1,424,301 = 1,424,301/x
3. Step 3: Cross multiply
   1,012,566x = 1,424,301 × 1,424,301
4. Step 4: Simplify right side
   1,012,566x = 2,028,633,338,601
5. Step 5: Solve for x
   x = 2,028,633,338,601/1,012,566
6. Step 6: Final answer
   x = 2,003,457.89