Finding the Third Proportional to 1,005,564 and 1,406,588

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,564 : 1,406,588 = 1,406,588 : x
2. Step 2: Convert to fraction form
   1,005,564/1,406,588 = 1,406,588/x
3. Step 3: Cross multiply
   1,005,564x = 1,406,588 × 1,406,588
4. Step 4: Simplify right side
   1,005,564x = 1,978,489,801,744
5. Step 5: Solve for x
   x = 1,978,489,801,744/1,005,564
6. Step 6: Final answer
   x = 1,967,542.40