Finding the Third Proportional to 394,321.50 and 590,814

Step by Step Solution

1. Step 1: Write the proportion equation
   394,321.50 : 590,814 = 590,814 : x
2. Step 2: Convert to fraction form
   394,321.50/590,814 = 590,814/x
3. Step 3: Cross multiply
   394,321.50x = 590,814 × 590,814
4. Step 4: Simplify right side
   394,321.50x = 349,061,182,596
5. Step 5: Solve for x
   x = 349,061,182,596/394,321.50
6. Step 6: Final answer
   x = 885,219.76