Finding the Third Proportional to 646,795 and 1,406,843

Step by Step Solution

1. Step 1: Write the proportion equation
   646,795 : 1,406,843 = 1,406,843 : x
2. Step 2: Convert to fraction form
   646,795/1,406,843 = 1,406,843/x
3. Step 3: Cross multiply
   646,795x = 1,406,843 × 1,406,843
4. Step 4: Simplify right side
   646,795x = 1,979,207,226,649
5. Step 5: Solve for x
   x = 1,979,207,226,649/646,795
6. Step 6: Final answer
   x = 3,060,022.46