Finding the Third Proportional to 404,560 and 582,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,560 : 582,751.50 = 582,751.50 : x
2. Step 2: Convert to fraction form
   404,560/582,751.50 = 582,751.50/x
3. Step 3: Cross multiply
   404,560x = 582,751.50 × 582,751.50
4. Step 4: Simplify right side
   404,560x = 339,599,310,752.25
5. Step 5: Solve for x
   x = 339,599,310,752.25/404,560
6. Step 6: Final answer
   x = 839,428.79