Finding the Third Proportional to 646,789 and 1,406,833

Step by Step Solution

1. Step 1: Write the proportion equation
   646,789 : 1,406,833 = 1,406,833 : x
2. Step 2: Convert to fraction form
   646,789/1,406,833 = 1,406,833/x
3. Step 3: Cross multiply
   646,789x = 1,406,833 × 1,406,833
4. Step 4: Simplify right side
   646,789x = 1,979,179,089,889
5. Step 5: Solve for x
   x = 1,979,179,089,889/646,789
6. Step 6: Final answer
   x = 3,060,007.34