Finding the Third Proportional to 184,573.50 and 394,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,573.50 : 394,738.50 = 394,738.50 : x
2. Step 2: Convert to fraction form
   184,573.50/394,738.50 = 394,738.50/x
3. Step 3: Cross multiply
   184,573.50x = 394,738.50 × 394,738.50
4. Step 4: Simplify right side
   184,573.50x = 155,818,483,382.25
5. Step 5: Solve for x
   x = 155,818,483,382.25/184,573.50
6. Step 6: Final answer
   x = 844,208.31