Finding the Third Proportional to 396,825 and 598,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   396,825 : 598,816.50 = 598,816.50 : x
2. Step 2: Convert to fraction form
   396,825/598,816.50 = 598,816.50/x
3. Step 3: Cross multiply
   396,825x = 598,816.50 × 598,816.50
4. Step 4: Simplify right side
   396,825x = 358,581,200,672.25
5. Step 5: Solve for x
   x = 358,581,200,672.25/396,825
6. Step 6: Final answer
   x = 903,625.53