Finding the Third Proportional to 186,114 and 406,996

Step by Step Solution

1. Step 1: Write the proportion equation
   186,114 : 406,996 = 406,996 : x
2. Step 2: Convert to fraction form
   186,114/406,996 = 406,996/x
3. Step 3: Cross multiply
   186,114x = 406,996 × 406,996
4. Step 4: Simplify right side
   186,114x = 165,645,744,016
5. Step 5: Solve for x
   x = 165,645,744,016/186,114
6. Step 6: Final answer
   x = 890,023.02