Finding the Third Proportional to 185,948 and 406,456

Step by Step Solution

1. Step 1: Write the proportion equation
   185,948 : 406,456 = 406,456 : x
2. Step 2: Convert to fraction form
   185,948/406,456 = 406,456/x
3. Step 3: Cross multiply
   185,948x = 406,456 × 406,456
4. Step 4: Simplify right side
   185,948x = 165,206,479,936
5. Step 5: Solve for x
   x = 165,206,479,936/185,948
6. Step 6: Final answer
   x = 888,455.27