Finding the Third Proportional to 406,742 and 618,406

Step by Step Solution

1. Step 1: Write the proportion equation
   406,742 : 618,406 = 618,406 : x
2. Step 2: Convert to fraction form
   406,742/618,406 = 618,406/x
3. Step 3: Cross multiply
   406,742x = 618,406 × 618,406
4. Step 4: Simplify right side
   406,742x = 382,425,980,836
5. Step 5: Solve for x
   x = 382,425,980,836/406,742
6. Step 6: Final answer
   x = 940,217.58