Finding the Third Proportional to 1,005,557 and 1,406,578

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,557 : 1,406,578 = 1,406,578 : x
2. Step 2: Convert to fraction form
   1,005,557/1,406,578 = 1,406,578/x
3. Step 3: Cross multiply
   1,005,557x = 1,406,578 × 1,406,578
4. Step 4: Simplify right side
   1,005,557x = 1,978,461,670,084
5. Step 5: Solve for x
   x = 1,978,461,670,084/1,005,557
6. Step 6: Final answer
   x = 1,967,528.12