Finding the Third Proportional to 646,799 and 1,406,851

Step by Step Solution

1. Step 1: Write the proportion equation
   646,799 : 1,406,851 = 1,406,851 : x
2. Step 2: Convert to fraction form
   646,799/1,406,851 = 1,406,851/x
3. Step 3: Cross multiply
   646,799x = 1,406,851 × 1,406,851
4. Step 4: Simplify right side
   646,799x = 1,979,229,736,201
5. Step 5: Solve for x
   x = 1,979,229,736,201/646,799
6. Step 6: Final answer
   x = 3,060,038.34