Finding the Third Proportional to 406,944 and 851,064

Step by Step Solution

1. Step 1: Write the proportion equation
   406,944 : 851,064 = 851,064 : x
2. Step 2: Convert to fraction form
   406,944/851,064 = 851,064/x
3. Step 3: Cross multiply
   406,944x = 851,064 × 851,064
4. Step 4: Simplify right side
   406,944x = 724,309,932,096
5. Step 5: Solve for x
   x = 724,309,932,096/406,944
6. Step 6: Final answer
   x = 1,779,876.18