Finding the Third Proportional to 185,992 and 406,760

Step by Step Solution

1. Step 1: Write the proportion equation
   185,992 : 406,760 = 406,760 : x
2. Step 2: Convert to fraction form
   185,992/406,760 = 406,760/x
3. Step 3: Cross multiply
   185,992x = 406,760 × 406,760
4. Step 4: Simplify right side
   185,992x = 165,453,697,600
5. Step 5: Solve for x
   x = 165,453,697,600/185,992
6. Step 6: Final answer
   x = 889,574.27