Finding the Third Proportional to 404,856 and 583,224.75

Step by Step Solution

1. Step 1: Write the proportion equation
   404,856 : 583,224.75 = 583,224.75 : x
2. Step 2: Convert to fraction form
   404,856/583,224.75 = 583,224.75/x
3. Step 3: Cross multiply
   404,856x = 583,224.75 × 583,224.75
4. Step 4: Simplify right side
   404,856x = 340,151,109,012.56
5. Step 5: Solve for x
   x = 340,151,109,012.56/404,856
6. Step 6: Final answer
   x = 840,178.01