Finding the Third Proportional to 406,416 and 603,735.75

Step by Step Solution

1. Step 1: Write the proportion equation
   406,416 : 603,735.75 = 603,735.75 : x
2. Step 2: Convert to fraction form
   406,416/603,735.75 = 603,735.75/x
3. Step 3: Cross multiply
   406,416x = 603,735.75 × 603,735.75
4. Step 4: Simplify right side
   406,416x = 364,496,855,828.06
5. Step 5: Solve for x
   x = 364,496,855,828.06/406,416
6. Step 6: Final answer
   x = 896,856.56