Finding the Third Proportional to 646,466 and 1,406,868

Step by Step Solution

1. Step 1: Write the proportion equation
   646,466 : 1,406,868 = 1,406,868 : x
2. Step 2: Convert to fraction form
   646,466/1,406,868 = 1,406,868/x
3. Step 3: Cross multiply
   646,466x = 1,406,868 × 1,406,868
4. Step 4: Simplify right side
   646,466x = 1,979,277,569,424
5. Step 5: Solve for x
   x = 1,979,277,569,424/646,466
6. Step 6: Final answer
   x = 3,061,688.58