Finding the Third Proportional to 1,005,566 and 1,406,590

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,566 : 1,406,590 = 1,406,590 : x
2. Step 2: Convert to fraction form
   1,005,566/1,406,590 = 1,406,590/x
3. Step 3: Cross multiply
   1,005,566x = 1,406,590 × 1,406,590
4. Step 4: Simplify right side
   1,005,566x = 1,978,495,428,100
5. Step 5: Solve for x
   x = 1,978,495,428,100/1,005,566
6. Step 6: Final answer
   x = 1,967,544.08