Finding the Third Proportional to 394,320 and 590,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,320 : 590,813.50 = 590,813.50 : x
2. Step 2: Convert to fraction form
   394,320/590,813.50 = 590,813.50/x
3. Step 3: Cross multiply
   394,320x = 590,813.50 × 590,813.50
4. Step 4: Simplify right side
   394,320x = 349,060,591,782.25
5. Step 5: Solve for x
   x = 349,060,591,782.25/394,320
6. Step 6: Final answer
   x = 885,221.63