Finding the Third Proportional to 406,411.50 and 603,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,411.50 : 603,733.50 = 603,733.50 : x
2. Step 2: Convert to fraction form
   406,411.50/603,733.50 = 603,733.50/x
3. Step 3: Cross multiply
   406,411.50x = 603,733.50 × 603,733.50
4. Step 4: Simplify right side
   406,411.50x = 364,494,139,022.25
5. Step 5: Solve for x
   x = 364,494,139,022.25/406,411.50
6. Step 6: Final answer
   x = 896,859.81