Finding the Third Proportional to 1,005,551 and 1,406,567

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,551 : 1,406,567 = 1,406,567 : x
2. Step 2: Convert to fraction form
   1,005,551/1,406,567 = 1,406,567/x
3. Step 3: Cross multiply
   1,005,551x = 1,406,567 × 1,406,567
4. Step 4: Simplify right side
   1,005,551x = 1,978,430,725,489
5. Step 5: Solve for x
   x = 1,978,430,725,489/1,005,551
6. Step 6: Final answer
   x = 1,967,509.08