Finding the Third Proportional to 190,550 and 406,404

Step by Step Solution

1. Step 1: Write the proportion equation
   190,550 : 406,404 = 406,404 : x
2. Step 2: Convert to fraction form
   190,550/406,404 = 406,404/x
3. Step 3: Cross multiply
   190,550x = 406,404 × 406,404
4. Step 4: Simplify right side
   190,550x = 165,164,211,216
5. Step 5: Solve for x
   x = 165,164,211,216/190,550
6. Step 6: Final answer
   x = 866,776.23