Finding the Third Proportional to 200,269 and 406,064

Step by Step Solution

1. Step 1: Write the proportion equation
   200,269 : 406,064 = 406,064 : x
2. Step 2: Convert to fraction form
   200,269/406,064 = 406,064/x
3. Step 3: Cross multiply
   200,269x = 406,064 × 406,064
4. Step 4: Simplify right side
   200,269x = 164,887,972,096
5. Step 5: Solve for x
   x = 164,887,972,096/200,269
6. Step 6: Final answer
   x = 823,332.48