Finding the Third Proportional to 190,298 and 406,834

Step by Step Solution

1. Step 1: Write the proportion equation
   190,298 : 406,834 = 406,834 : x
2. Step 2: Convert to fraction form
   190,298/406,834 = 406,834/x
3. Step 3: Cross multiply
   190,298x = 406,834 × 406,834
4. Step 4: Simplify right side
   190,298x = 165,513,903,556
5. Step 5: Solve for x
   x = 165,513,903,556/190,298
6. Step 6: Final answer
   x = 869,761.66