Finding the Third Proportional to 1,005,541 and 1,406,554

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,541 : 1,406,554 = 1,406,554 : x
2. Step 2: Convert to fraction form
   1,005,541/1,406,554 = 1,406,554/x
3. Step 3: Cross multiply
   1,005,541x = 1,406,554 × 1,406,554
4. Step 4: Simplify right side
   1,005,541x = 1,978,394,154,916
5. Step 5: Solve for x
   x = 1,978,394,154,916/1,005,541
6. Step 6: Final answer
   x = 1,967,492.28