Finding the Third Proportional to 404,725.50 and 593,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,725.50 : 593,965.50 = 593,965.50 : x
2. Step 2: Convert to fraction form
   404,725.50/593,965.50 = 593,965.50/x
3. Step 3: Cross multiply
   404,725.50x = 593,965.50 × 593,965.50
4. Step 4: Simplify right side
   404,725.50x = 352,795,015,190.25
5. Step 5: Solve for x
   x = 352,795,015,190.25/404,725.50
6. Step 6: Final answer
   x = 871,689.61