Finding the Third Proportional to 394,825 and 562,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,825 : 562,705.50 = 562,705.50 : x
2. Step 2: Convert to fraction form
   394,825/562,705.50 = 562,705.50/x
3. Step 3: Cross multiply
   394,825x = 562,705.50 × 562,705.50
4. Step 4: Simplify right side
   394,825x = 316,637,479,730.25
5. Step 5: Solve for x
   x = 316,637,479,730.25/394,825
6. Step 6: Final answer
   x = 801,969.18